If `N` is the number of ways in which a person can walk up a stairway which has 7 steps if he can take 1 or 2 steps up the stairs at a time then the value of `N//3` is _______.

The number of ways in which a couple can sit around a table with 6 guests, if the couple take consecutive seats is

The number of ways in which 7 persons can be seated at a round table if twom particular persons are not to sit together is

There are 3 men and 7 women taking a dance class. If N ils number of different ways in which each man be paired with a women partner, and the four remaining women be paired into two pairs each of two, then the value of N//90 is_________.

If the number of ways in which the letters of the word ABBCABBC can be arranged such that the word ABBC does not appear is any word is N , then the value of (N^(1//2)-10) is_________.

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.

Let P_n denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them are consecutive. If P_(n+1)- P_n=15 then the value of 'n is____.

Let , n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue .Ley m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exaxtly four girls stand consescutively in the queue. Then the value of (m)/(n) is -

If N is the number of ways in which 3 distinct numbers canbe selected from the set {3^1,3^2,3^3, ,3^(10)} so that they form a G.P. then the value of N//5 is ______.

Find the number of ways in which the letters of the word 'INTERMEDIATE' can be arranged taken all at a time so that the vowels are not all together.

Find the number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most n-1 prizes.