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Permutations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPermutations2 Marks
Question
Convert the following products into factorials: 5.6.7.8.9.10
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Answer

We have,$5 \times 6 \times 7 \times 8 \times 9 \times 10$
$=\frac{10\times9\times8\times7\times6\times5\times(4\times3\times2\times1)}{4\times3\times2\times1}$ $=\frac{10!}{4!}$ Hence, $5\times6\times7\times8\times9\times10=\frac{10!}{4!}$

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