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...

Assessment: JAMB UTME - Mathematics - 2011 Subject: General Mathematics

Question 1 Report

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?
Answer Details
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 P 3  =  7 ! ( 7 − 3 ) !  =  7 ! 4 !
=  7 × 6 × 5 × 4 ! 4 !
= 210 ways

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