Find the total number of way in which `n` distinct objects can be put into two different boxes

Find the number of ways in which n distinct objects can be kept into two identical boxes so that no box remains empty is

Statement 1: let E={1,2,3,4}a n dF={a ,b}dot Then the number of onto functions from EtoFi s14. Statement 2: Number of ways in which four distinct objects can be distributed into two different boxes is 14 if no box remains empty.

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

Number of ways in which 6 distinct objects can be kept into two identical boxes so that no box remains empty is

The total number of ways in which n^2 number of identical balls can be put in n numbered boxes (1,2,3,.......... n) such that ith box contains at least i number of balls is a. .^(n^2)C_(n-1) b. .^(n^2-1)C_(n-1) c. .^((n^2+n-2)/2)C_(n-1) d. none of these

The number of ways in which 19 different objects can be divided into two groups of 13 and 6 is

Find the number of ways in which the number 300300 can be split into two factors which are relatively prime.

Find the number of ways in which 3 distinct numbers can be selected from the set {3^(1),3^(2),3^(3),..,3^(100),3^(101)} so that they form a G.P.

Ten identical balls are distributed in 5 different boxes kept in a row and labeled A, B, C, D and E. The number of ways in which the ball can be distributed in the boxes if no two adjacent boxes remains empty

The number of ways in which 21 objects can be grouped into three groups 8, 7 and 6 object is