2011
Mathematics
67ca00ce0c643c71d77dee1f
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: 210
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 7/P3 = 7!/(7−3)! = 7!/4! = 7×6×5×4!/4! = 210 ways
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 7/P3 = 7!/(7−3)! = 7!/4! = 7×6×5×4!/4! = 210 waysTHIS WEEK's
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