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find the value of o, if 3xnP4= 5xn-1P4 ?
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Answer:
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Step-by-step explanation:
The value of n is "10".
Step-by-step explanation:
Given, 3 × P(n, 4) = 5 × P(n, 5)
∴ 3 × \dfrac{(n)!}{(n - 4)!} = 5 × [tex]\dfrac{(n)!}{(n - 5)!} < /p > < p > ⇒ 3 × [tex]\frac{n}{(n - 4)}
(n−4)!
(n)!
=5×[tex]
(n−5)!
(n)!
</p><p>⇒ 3×[tex]
(n−4)
n
= 5
⇒ 3n = 5n - 20
⇒ 2n = 20
⇒ n = 10
∴ n = 10
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