Mathematics: Which is greater, 7 p 5 or 7 c 5? 7p5 7c5

Which is greater, 7 p 5 or 7 c 5? 7p5 7c5 - id7575757513911, blackops7959

TightKnowsDaWhey

09.03.2022

$_7P_5=\dfrac{7!}{(7-5)!}=\dfrac{7!}{2!}=3\cdot4\cdot5\cdot6\cdot7=2520\\_7C_5=\dfrac{7!}{5!2!}=\dfrac{6\cdot7}{2}=21\\\\\\_7P_5 {_7C_5}$

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_nP_k is always greater than _nC_k . And it's greater times.

$\dfrac{_nP_k}{_nC_k}=\dfrac{\dfrac{n!}{(n-k)!}}{\dfrac{n!}{k!(n-k)!}}=\dfrac{n!}{(n-k)!}\cdot \dfrac{k!(n-k)!}{n!}=k!$

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casting479

18.02.2020

sded1

Step-by-step explanation:

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