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Class 11 Mathematics Permutations and Combinations Factorial notationHard

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What is the simplified value of ( \frac{14!}{11!}\div\frac{7!}{4!} )?

Answer and explanation

Correct answer: ( \frac{52}{5} )

The value is ( \frac{14\cdot13\cdot12}{7\cdot6\cdot5}=\frac{52}{5} ). In division, expand both factorial ratios separately.

Related tags

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

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