A row has 10 chairs

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

A row has 10 chairs. Exactly 4 identical red, 3 identical blue and 3 identical green cushions are to be placed, one on each chair. How many distinct colour arrangements are possible if the three green cushions must not all be consecutive? (a) 4 2004\,200 (b) 1 9601\,960 (c) 3 9203\,920 (d) 2 5202\,520

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