(C) The formula for permutations is ${}^nP_r = \frac{n!}{(n-r)!}$.We need to calculate ${}^6P_4 + 4 \cdot {}^6P_3$.First,calculate ${}^6P_4 = \frac{6!

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(C) The formula for permutations is ${}^nP_r = \frac{n!}{(n-r)!}$.We need to calculate ${}^6P_4 + 4 \cdot {}^6P_3$.First,calculate ${}^6P_4 = \frac{6!}{(6-4)!} = \frac{6!}{2!} = \frac{720}{2} = 360$.Next,calculate ${}^6P_3 = \frac{6!}{(6-3)!} = \frac{6!}{3!} = \frac{720}{6} = 120$.Now,substitute these values into the expression:${}^6P_4 + 4 \cdot {}^6P_3 = 360 + 4 \times 120 = 360 + 480 = 840$.

Class 11 Mathematics Permutation and Combination Mix Examples-Permutation and Combination

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The value of ${}^6P_4 + 4 \cdot {}^6P_3$ is $.......$ .

AP EAMCET 2021 All AP EAMCET

A
$5040$
B
$2520$
C
$840$
D
$720$

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The value of ${}^6P_4 + 4 \cdot {}^6P_3$ is $.......$ .

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