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Raial has 7 different posters to be hanged in her bedroom, living room and kitchen….

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: Option D
Explanation

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 (frac{7}{P_3}) = (frac{7!}{(7 – 3)!}) = (frac{7!}{4!})
= (frac{7 times 6 times 5 times 4!}{4!})
= 210 ways

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