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Evaluate Each of the Following:10p4 - Mathematics

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Question

Evaluate each of the following:

10P

Solution

\[\ {}^{10} P_4 = \frac{10!}{(10 - 4)!} \]
\[ = \frac{10!}{6!}\]
\[ = \frac{10(9)(8)(7)(6!)}{6!}\]
\[ = 10 \times 9 \times 8 \times 7 \]
\[ = 5040\]

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Chapter 16: Permutations - Exercise 16.3 [Page 28]

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RD Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.3 | Q 1.2 | Page 28

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