Question

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, is_______.

• A.
• B.
• C.
• D. m

Answer 1

The correct option is C

Total number of ways of distributing n different prizes among m persons (when m < n)

$=m\times m\times m\times m$..........to n times = $m^n$

The number of ways in which one gets all the prizes = m

The required number of ways if each person can receive at most n - 1 prizes = $m^n-m$