Question

The numbers of ways in which $n$ prizes can be distributed among $n$ students when each student is eligible to get any number of prizes is:

• A. $n^n$
• B. $n!$
• C. $n^n-n$
• D. none of these

Answer 1

The correct option is B $n!$

For the first prize there are $n$ ways

For the second there are $n-1$ ways

For the third there are $n-2$ ways

and so on...

The no . of ways is given by $n\times n-1\times n-2\times ...$

The numbers of ways in which $n$ prizes can be distributed among $n$ students when each student is eligible to get any number of prizes is: $n!$