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Permutation and Combinations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPermutation and Combinations1 Mark
Question
If nPr = 840, nCr = 35, then r = ______.
✓

Answer

If nPr = 840, nCr = 35, then r = 4
Solution:
We have, nPr = 840 and nCr = 35
Now nPr = nCr . r!
$\Rightarrow840=35 \times\text{r!}\ \Rightarrow\ ^.\text{r}!=24$
$\therefore\text{r}=4$

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