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Permutations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPermutations2 Marks
Question
Compute: $\frac{11!-10!}{9!}$
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Answer

We have, $\frac{11!-10!}{9!}=\frac{11\times10\times9!-10\times9!}{9!}$$=\frac{9!\times10[11-1]}{9!}$
$= 10\times10$$=100$
Hence,$ \ \frac{11!-10!}{9!}=100$

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