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...

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?

49

170

21

210

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 $\frac{7}{P_{3}}$ = $\frac{7!}{(7 - 3)!}$ = $\frac{7!}{4!}$
= $\frac{7 \times 6 \times 5 \times 4!}{4!}$
= 210 ways

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Matrices And Determinants

Permutation And Combination

Differentiation

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