In how many ways can a person walk up a staircase of 6 steps if he can cover at most 3 steps in a stride?
[Can it be done using no of integral solutions...i tried this....
a+b+c+d+e+f=6
no of non negative solution
6+6-1C5--->462
a=a'+4--->a'+b+c+d+e+f=2-->7C5
so,462-6*7C5.....but its not the answer..:(😠
Approach?
if y + 3/y = 2, find the value of (y^3 - y). Where y = ax + b.
Please share the approach used:
Find the number of integral solutions to IxI + IyI + IzI = 15?
A point P inside an equilateral triangle, ABC is located at a distance of 3, 4 and 5 units respectively from A, B and C. What is the area of the triangle ABC?
Approach also...
Approach also...
10000! = (100!)^K * P, where P and K are integers. What can be the maximum value of K?
In a triangle ABC , points D,E & F are on lines BC, CA & AB such that BD:DC = 2:1 ; CE:EA = 1:2 & AF:AB=1:4. If area of ∆AEF = 20 cm^2 then what would be area of ⎕CDFE .
a. 40 m^2
b. 30 cm^2
c. 40 cm^2
d. 40000 mm^2
e. None of These (???)
If a, b and c are non-zero real numbers such that |a – b| = |c| and |a – c| = |b|, then what is the value of b2 + c2?
a) a2 – 2bc (b)2bc (c)a2 (d)a2 + 2bc
what will be the remainder when 50^51^52 is divided by 11?
- 6
- 3
- 7
- 4
0 voters
18^2000 + 12^2000 - 5^2000 - 1 is divisible by
1) 323
2)221
3)299
4)237
How many positive integral solutions exist for the equation a+b+c =14 , such that no two of the three are equal ?
a) 60
b) 70
c) 78
d) 120
A is having Rs. 255 all in Re. 1 denominations, in how many minimum number of bags can he distribute this amount so that he can give any denomination from Re. 1 to Rs. 255 without opening any bag?
If all the 5-letter words are formed from the letters of the word MATHEMATICS, in how many of them will the letter E occur?
6945
8510
9600
6990 ans with explaination is most welcome
Let f(x) = x9 – 17x8 + 17x7 – 17x6 + …– 17x2 + 17x, where x is a real number. Find the value of f(16).
a) 1
b) 17
c) 0
d) 16
A man tosses a coin and wins a rupee for a head and loses a rupee for a tail. Suppose he tosses once, and quits if he wins, but tries once again if he loses on the first toss, then his expected net gain is
Ten boxes each contain 9 balls. The balls in one box each weigh 0.9 kg; the rest all weigh 1 kg. In how many least number of weighing you can determine the box with the light balls?
Ten boxes each contain 9 balls. The balls in one box each weigh 0.9 kg; the rest all weigh 1 kg. In how many least number of weighing you can determine the box with the light balls?