Find the number of ways of disturbing `n` identicalobjects among `n` persons if at least `n-3` persons get none of these objects.

Number of ways in which 25 identical things be distributed among five persons if each gets odd number of things is

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.

The total number of ways in which 5 balls of different colours can be distributed among 3 persons, so that each person gets atleast one ball is

Numbers of ways in which 30 identical things are distributed among six persons is -

if n objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each other is

Ten persons are arranged in a row . The number of ways of selecting four persons so that no two persons sitting next to each other's are selected is

The number of ways of distributing 3 identical physics books and 3 identical mathematics books among three students such that each student gets at least one books is

If N denotes the number of ways of selecting r objects of out of n distinct objects (rgeqn) with unlimited repetition but with each object included at least once in selection, then N is equal is a. .^(r-1)C_(r-n) b. .^(r-1)C_n c. .^(r-1)C_(n-1) d. none of these

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

Find the number of ways in which 8 non-identical apples can be distributed among 3 boys such that every boy should get at least 1 apple and at most 4 apples.