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

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

Number of ways in which 30 identical things are distributed among six persons is a .^17C_5 if each gets odd number of things b .^16C_11 if each gets odd number of things c .^14C_5 if each gets even number of things (excluding 0) d .^15C_10 if each gets even number of things (excluding 0)

Statement 1: number of ways in which 10 identical toys can be distributed among three students if each receives at least two toys is .^6C_2 . Statement 2: Number of positive integral solutions of x+y+z+w=7i s^6C_3dot

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

Number of ways in which Rs. 18 can be distributed amongst four persons such that nobody receives less than Rs. 3 is a. 4^2 b. 2^4 c. 4! 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.

Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in N Statement 2: Number of ways in which n^2 objects can be distributed among n persons equally is (n^2)!//(n !)^n .

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

Answer the following questions : If m things are distributed among a men and women, show that the probability of receiving odd number of things by 'men is 1/2[((b+a)^m - (b-a)^m)/(b+a)^m] .