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Class 11 Mathematics Permutations and Combinations Factorial notationHard

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What is the simplified value of ( \frac{9!\cdot5!}{7!\cdot6!} )?

Answer and explanation

Correct answer: (12)

( \frac{9!}{7!}=72 ) and ( \frac{5!}{6!}=\frac{1}{6} ), so the value is (12). Cancel separate ratios in multiplication.

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Permutations Combinations Factorial Hard Factorial Notation Permutations And Combinations Mathematics Class 11 Mcq

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