Number of permutations of 1, 2, 3, 4, 5, 6, 7, 8, and 9 taken all at a time are such that the digit 1 appearing somewhere to the left of 2 3 appearing to the left of 4 and 5 somewhere to the left of 6, is `kxx7!` Then the value of `k` is _________.

Number of permutations of 1,2,3,4,5,6,7,8 , and 9 taken all at a time are such that digit 1 appearing somewhere to the left of 2 and digit 3 appearing to the left of 4 and digit 5 somewhere to the left of 6 , is (e.g. 815723946 would be one such permutation)

If A={1,2,3,4,5,6,7,8} and B={1,3,4,6,7,8,9} then

Five numbers are selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that their product is divisible by 5 or 7 is

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A^(prime) .

The points (5, -5, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the vertices of

The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written in random order to form a nine digit number.Let p be the probability that this number is divisible by 36, find 9p.

The points (5, -4, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the vertices of a

The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken all at a time is

The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken all at a time is

The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken all at a time is