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PERMUTATIONS AND COMBINATIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPERMUTATIONS AND COMBINATIONS1 Mark
Question
Evaluate: $\frac{{n!}}{{(n - r)!}}$ when, n = 9, r = 5
✓

Answer

Substituting,the value of n and r: $\frac{9 !}{(9-5) !}$
$\Rightarrow \frac{9 !}{4 !}=\frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 !}{4 !}=9 \times 8 \times 7 \times 6 \times 5=15120$

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