A souvenir set is prepared by choosing 2 key chains out of 7 designs and 1 pen out of…

MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

A souvenir set is prepared by choosing 2 key chains out of 7 designs and 1 pen out of 5 colours. Without carrying out any calculation, explain why the total number of distinct souvenir sets equals 7C2×5C1{}^7C_2 \times {}^5C_1.

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