@shashankbapat23 said:In how many ways the word SUCCESS be written such that no two S's or C's are together?
96?
@shashankbapat23 said:In how many ways the word SUCCESS be written such that no two S's or C's are together?
504?
_S_S_S_
C can be placed in any of the 4 positions => 4
Next C can be placed in any of the 3 other positions => 3
U can be placed in any of the 6 positions => 6
E can be placed in any of the 7 positions => 7
So 4 * 3 * 6 * 7 = 504?
_S_S_S_
C can be placed in any of the 4 positions => 4
Next C can be placed in any of the 3 other positions => 3
U can be placed in any of the 6 positions => 6
E can be placed in any of the 7 positions => 7
So 4 * 3 * 6 * 7 = 504?
@bada.bhai
Given = Dimensions of the suitcase are 80 cm * 48 cm *24 cm
Total surface area of a suitcase
=> 2(lb+bh+hl)
=>2 (80 * 48 + 48 *24 + 24 * 80)
=> 2 (3840 + 1152 + 1920)
= >13824
Now,Width of the tarpaulin = 96 cm
length of tarpaulin to cover one suitcase = 13824/96 =144 cm
So the length of tarpaulin to cover 100 such suitcase
=> 144* 100 cm = 14400 cm = 144 m :)
Given = Dimensions of the suitcase are 80 cm * 48 cm *24 cm
Total surface area of a suitcase
=> 2(lb+bh+hl)
=>2 (80 * 48 + 48 *24 + 24 * 80)
=> 2 (3840 + 1152 + 1920)
= >13824
Now,Width of the tarpaulin = 96 cm
length of tarpaulin to cover one suitcase = 13824/96 =144 cm
So the length of tarpaulin to cover 100 such suitcase
=> 144* 100 cm = 14400 cm = 144 m :)
@grkkrg said:504?_S_S_S_C can be placed in any of the 4 positions => 4Next C can be placed in any of the 3 other positions => 3U can be placed in any of the 6 positions => 6E can be placed in any of the 7 positions => 7So 4 * 3 * 6 * 7 = 504?
this doesn't include word starting from S i suppose.. correct me if wrong
@chandrakant.k said:this doesn't include word starting from S i suppose.. correct me if wrong
it can.. you can always leave the first blank empty..
@shashankbapat23 said:@19rsb@grkkrg96 is the answer @19rsb approach please
_ U _ C _ C _ E _
S in C(5, 3) ways
Total ways = 10*4!/2! = 120 ways
Now, subtract those cases when both C's are together
_ U _ CC _ E _
C(4, 3)*3! = 24 ways
total number of ways = 120 - 24 = 96
S in C(5, 3) ways
Total ways = 10*4!/2! = 120 ways
Now, subtract those cases when both C's are together
_ U _ CC _ E _
C(4, 3)*3! = 24 ways
total number of ways = 120 - 24 = 96
@grkkrg said:it can.. you can always leave the first blank empty..
then you have 3 spaces and 4 letters 😞
@TootaHuaDil said:@grkkrg I am a starter in quants. Can you please guide me in geometry. what should I do from beginners level to go to expert level?? please...Geometry expert kaise banu??
I won't say I am an expert, but I am definitely a lot better than I once was. Will share my approach:
One thing I did was sit down and prove every single theorem to myself from scratch, drew figures, got my hands dirty so to speak, and convinced myself of their validity, and where they can(not) be applied (till then I had just trusted the words of my geometry teacher ki "don't worry it is correct, just study the theorem and apply it, marks aa jayenge....proof is too tough..." which is a valid attitude for board exams I suppose, but fails way too often in CAT.)
Much to my surprise (maybe even chagrin) I found that most of the proofs were easy enough as long as one goes in a logical flow from the known to the unknown - for example using isosceles triangle, can prove inscribed angle theorem, from that can prove cyclic quadrilateral theorems, from that can prove intersecting secants ke theorems....90% of the proofs were not that tough (and I spent most of my formative years believing that they were some GOD level stuff!)
So basically understanding is the first key. If you mug up the theorems in geometry, you will be at sea when confronted by a strange figure....but if you understand the underlying logic, you will yourself see a good starting point or a useful construction...you will automatically look for similar triangles or inscribed angles or right triangles and so on...which brings us to the second key.
The second key is visualisation. When you encounter a figure in practice (say a regular hexagon) try and play with it in your imagination. Draw diagonals. Draw a circumcircle/incircle. Imagine how the figure will change if you make it non-regular. Visualise the symmetry. Visualisation is an incredibly powerful tool when the basics are in place - I have seen people come up with magical solutions to otherwise painful problems that way, and once or twice have had the satisfaction of coming up with such a solution myself. Lovely feeling.
And of course, practice never hurts 😃
Sorry for the long lecture btw ;)
regards
scrabbler
One thing I did was sit down and prove every single theorem to myself from scratch, drew figures, got my hands dirty so to speak, and convinced myself of their validity, and where they can(not) be applied (till then I had just trusted the words of my geometry teacher ki "don't worry it is correct, just study the theorem and apply it, marks aa jayenge....proof is too tough..." which is a valid attitude for board exams I suppose, but fails way too often in CAT.)
Much to my surprise (maybe even chagrin) I found that most of the proofs were easy enough as long as one goes in a logical flow from the known to the unknown - for example using isosceles triangle, can prove inscribed angle theorem, from that can prove cyclic quadrilateral theorems, from that can prove intersecting secants ke theorems....90% of the proofs were not that tough (and I spent most of my formative years believing that they were some GOD level stuff!)
So basically understanding is the first key. If you mug up the theorems in geometry, you will be at sea when confronted by a strange figure....but if you understand the underlying logic, you will yourself see a good starting point or a useful construction...you will automatically look for similar triangles or inscribed angles or right triangles and so on...which brings us to the second key.
The second key is visualisation. When you encounter a figure in practice (say a regular hexagon) try and play with it in your imagination. Draw diagonals. Draw a circumcircle/incircle. Imagine how the figure will change if you make it non-regular. Visualise the symmetry. Visualisation is an incredibly powerful tool when the basics are in place - I have seen people come up with magical solutions to otherwise painful problems that way, and once or twice have had the satisfaction of coming up with such a solution myself. Lovely feeling.
And of course, practice never hurts 😃
Sorry for the long lecture btw ;)
regards
scrabbler
@shashankbapat23 said:In how many ways the word SUCCESS be written such that no two S's or C's are together?
_ S _ S _ S _
g1 + g2 + g3 + g4 = 2
=> 5C3 * 4!/2! = 120
when both c's are together
g1 + g2 + g3 + g4 = 1
=> 643 * 3! = 24
so , required answer = 120 - 24 = 96
@scrabbler said:I won't say I am an expert, but I am definitely a lot better than I once was. Will share my approach:One thing I did was sit down and prove every single theorem to myself from scratch, drew figures, got my hands dirty so to speak, and convinced myself of their validity, and where they can(not) be applied (till then I had just trusted the words of my geometry teacher ki "don't worry it is correct, just study the theorem and apply it, marks aa jayenge....proof is too tough..." which is a valid attitude for board exams I suppose, but fails way too often in CAT.)Much to my surprise (maybe even chagrin) I found that most of the proofs were easy enough as long as one goes in a logical flow from the known to the unknown - for example using isosceles triangle, can prove inscribed angle theorem, from that can prove cyclic quadrilateral theorems, from that can prove intersecting secants ke theorems....90% of the proofs were not that tough (and I spent most of my formative years believing that they were some GOD level stuff!)So basically understanding is the first key. If you mug up the theorems in geometry, you will be at sea when confronted by a strange figure....but if you understand the underlying logic, you will yourself see a good starting point or a useful construction...you will automatically look for similar triangles or inscribed angles or right triangles and so on...which brings us to the second key.The second key is visualisation. When you encounter a figure in practice (say a regular hexagon) try and play with it in your imagination. Draw diagonals. Draw a circumcircle/incircle. Imagine how the figure will change if you make it non-regular. Visualise the symmetry. Visualisation is an incredibly powerful tool when the basics are in place - I have seen people come up with magical solutions to otherwise painful problems that way, and once or twice have had the satisfaction of coming up with such a solution myself.Lovely feeling.And of course, practice never hurts Sorry for the long lecture btw regardsscrabbler
@scrabbler said:I won't say I am an expert, but I am definitely a lot better than I once was. Will share my approach:One thing I did was sit down and prove every single theorem to myself from scratch, drew figures, got my hands dirty so to speak, and convinced myself of their validity, and where they can(not) be applied (till then I had just trusted the words of my geometry teacher ki "don't worry it is correct, just study the theorem and apply it, marks aa jayenge....proof is too tough..." which is a valid attitude for board exams I suppose, but fails way too often in CAT.)Much to my surprise (maybe even chagrin) I found that most of the proofs were easy enough as long as one goes in a logical flow from the known to the unknown - for example using isosceles triangle, can prove inscribed angle theorem, from that can prove cyclic quadrilateral theorems, from that can prove intersecting secants ke theorems....90% of the proofs were not that tough (and I spent most of my formative years believing that they were some GOD level stuff!)So basically understanding is the first key. If you mug up the theorems in geometry, you will be at sea when confronted by a strange figure....but if you understand the underlying logic, you will yourself see a good starting point or a useful construction...you will automatically look for similar triangles or inscribed angles or right triangles and so on...which brings us to the second key.The second key is visualisation. When you encounter a figure in practice (say a regular hexagon) try and play with it in your imagination. Draw diagonals. Draw a circumcircle/incircle. Imagine how the figure will change if you make it non-regular. Visualise the symmetry. Visualisation is an incredibly powerful tool when the basics are in place - I have seen people come up with magical solutions to otherwise painful problems that way, and once or twice have had the satisfaction of coming up with such a solution myself.Lovely feeling.And of course, practice never hurts Sorry for the long lecture btw regardsscrabbler
that was simply explained awesome post. So here I will start from basics with lots of imagination and practice 
😁 yyeyyy 😃 Thanks :)
😁 yyeyyy 😃 Thanks :)@shashankbapat23 said:@jain4444g1 g2 g3 g4 kya hai sirye wala method pehle kabhi nahi dekha
(gap1) S (gap2) S (gap3) S (gap4)
now gap 2 and gap3 must be greater than 0
so , g1 + (g2' + 1) + (g3' + 1) + g4 = 4
=> number of integral solutions = 5C3 and in 4!/2! ways other than S can arrange themselves
5 tanx = 18 , find value of (sinx - cox)
@jain4444 said:5 tanx = 18 , find value of (sinx - cox)
tanx = 18/5
Sinx = 18/√349
Cosx = 5/√349
Sinx - Cosx = 13/√349
"In a stream running at 2 kmph, a man goes 10 km upstream and comes back to the starting point in 55 minutes. Find the speed of the boat in still water."