Question

n biscuits are distributed among N beggars at random. The probability that a particular beggar gets r(<n) biscuits, is

Answer 1

Correct option (a)

Explanation:

Since a biscuit can be given to any one of N beggars. Therefore, each biscuit can be distributed in N ways. So, the total number of ways of distributing n biscuits among N beggars is

Now, r biscuits can be given to a particular beggar in nCr ways and the remaining (n – r) biscuits can be distributed to (N – 1) beggars in (N – 1)n – r ways. Thus, the number of ways in which a particular beggar receives r biscuits is nCr × (N – 1)n – r