Puys Please continue here..
Official Quant Thread for CAT 2011
the number 916238457 is an example of a nine-digit number which contains each of the digits 1 to 9 exactly once. It also has the property that the digits 1 to 5 occur in their natural order, while the digits 1 to 6 do not. How many such numbers are there?
Off for some vocab
sry.. from this we have to subtract cases where 12345 and 6 are in the accending order....
1 comes before 2
2 before 3 and co on
6 out of series haii
no. of ways of selecting 5 places in 9 places = 9C5
in this in the number of cases in which 6 is right to 5 has to be subtracted...
if 5 in 5th place 4 case
if 5 in 6th place 5C4*3 cases
if 5 in 7th 6C4*2
if 5 in 8th 7C4...
126- (4+ 15 + 30 + 35) = 42... i think sum mistake myt hav crept in please let me know..
from arun sharma:-
what is the remainder when (1!)^3+(2!)^3+(3!)^3+..............+(1152!)^3 is divided by 1152?
Q.Tap A fills water in a tank in 8 hrs, tap B fills the same tank with milk in 10 hrs. A man who wanted to fill the tank with water and milk ,starts tap A
in a tank containing milk up to 5% of tank capacity initially.After 4 hrs ,he starts tap B till the tank gets filled completely. In what proportion should he mix this solution with the other one containing water and milk in the ratio 1:3?
d)1:3 (correct option)
take capacity of 80ltrs
efficiency of tap A(water)=10ltrs/hr
efficiency of tap B(milk)=8ltrs/hr
5% of 80=4(milk containing tank)
In 1st 4hrs tap A threw 40ltrs of water,36 short to fill the tank completely
In next 2hrs tank will get completely filled
now,total milk in tank=4+8+8=20
after this dont understand what the question is??
pandit jii Saysbhaii sab log humara swaal kyun nazar andaaz kar dete haii :splat::splat::splat:
My take to your question is
5,7,8,9 should come after 1,2,3,4,6.
So, arrange all the numbers i.e. 9! and divide it by the numbers at the right.
Answer is 9!/4!
Is it correct, puys?
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