Question

Calculate the total number of ways to assign three people to five desks, with no more than one person to a desk.

• A. $8$
• B. $15$
• C. $30$
• D. $60$
• E. $120$

Answer 1

The correct option is D $60$

This is a permutation of the arrangement of five items

Then number of permutations $=$ $\frac{n!}{n-r!}$

$=$ $\frac{5!}{2!}$

$=$ $\frac{5\times 4\times 3\times 2\times 1}{2\times 1}$

$=$ $5\times 4\times 3$

$=60$