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Permutations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations2 Marks
Question
Evaluate the following:P(6,4)
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Answer

We have,
${P}(6,4) = \frac{6!}{(6-4)!}\Big[\because^\text{n}\text{P}_\text{r}=\frac{\text{n!}}{(\text{n}-\text{r})!}\Big]$
$=\frac{6!}{2!}$
$= \frac{6\times5\times4\times3\times2\times1}{2!}$
$= 360$
Hence, $\text{P}(6,4)= 720$

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