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.

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.

Find the number of ways in which 13 identical apples can be distributed among 3 persons so that no two persons receive equal number of apples and each can receive any number of apples.

Statement 1: The number of positive integral solutions of a b c=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^3

n different toys have to be distributed among n children. Find the number of ways in which these toys can be distributed so that exactly one child gets no toy.

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

The number of ways in which 11 identical pencils can be distributed among 6 kids each receiving atleast one is

Find the number of ways in which 8 different flowered can be strung to form a garland so that four particular flowers are never separated.

A double-decker bus carry (u+l) passengers, u in the upper deck and l in the lower deck. Find the number of ways in which the u+l passengers can be distributed in the two decks, if r(lt=l) particular passengers refuse to go in the upper deck and s(lt=u) refuse to sit in the lower deck.

Find the number of ways in which 10 different diamonds can be arranged to make a necklace.