There are 12 empty seats in a row of a theater. In how many ways can 3

Question

There are 12 empty seats in a row of a theater. In how many ways can 3 people be seated in the row?

A. 6
B. 12
C. 60
D. 220
E. 1320

imeanup · Answer

^{12}P_3=\frac{12!}{9!}=12*11*10=1320

IMO  Ans E

raj3083 · Answer

You forgot to divide by 6.

argha3110 · Answer

Bunuel  kindly help with the solution!

Bunuel · Answer

There are 12 empty seats in a row of a theater. In how many ways can 3 people be seated in the row?

A. 6
B. 12
C. 60
D. 220
E. 1320

Number of ways = choose 3 seats out of 12, then arrange 3 people in those seats.

That is 12C3 * 3! = 1320.

Answer: E.

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