# In how many ways can 3 seats be occupied if 5 people are willing to sit?

Question 48
A

20

B

5

C

120

D

60

##### Explanation

5 people can take 3 places in;

5P3 ways, = $$\frac{5!}{(5 - 3)!}$$ = $$\frac{5!}{2!}$$

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

= 5 x 4 x 3

= 60 ways

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