Raial has 7 different posters to be hanged in h... - JAMB Mathematics 2011 Question
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 option: 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 (\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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