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Raial has 7 different posters to be hanged in her bedroom...

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?

A.

49

B.

170

C.

21

D.

210

Correct answer is D

The first poster has 7 ways to be arranges, the second poster can be arranged in 6 ways and the third poster in 5 ways.

= 7 x 6 x 5

= 210 ways

or 7P3 = 7!(73)! = 7!4!

= 7×6×5×4!4!

= 210 ways