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PERMUTATIONS AND COMBINATIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPERMUTATIONS AND COMBINATIONS1 Mark
MCQ
Find the number of permutations if n = 12 and r = 2.
  • A
    24
  • B
    60
  • C
    106
  • ✓
    132
✓

Answer

Correct option: D.
132
  1. 132
Solution:
The solution is here:
$\text{n}=12$
$\text{r}=2$
Using the formula given above:
Permutation:
$\ ^\text{n}\text{p}_\text{r}=\frac{\text{(n})!}{\text{(n-r)}!}=\frac{(12)!}{(12-2)}=\frac{12!}{10!}=\frac{(12\times11\times10!)}{10!}=132$

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