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

Mathematics
JAMB 2011

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
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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

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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