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Convert the Following Products into Factorials: 5 · 6 · 7 · 8 · 9 · 10

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Question

Convert the following products into factorials:

5 · 6 · 7 · 8 · 9 · 10

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Solution

\[ 5 \times 6 \times 7 \times 8 \times 9 \times 10 = \frac{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10}{1 \times 2 \times 3 \times 4}\]
\[ = \frac{10!}{4!}\]

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.1 [Page 4]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.1 | Q 4.1 | Page 4

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