Math, asked by josephsibene1, 1 year ago

If 5pr=6pr-1, find r


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Answered by rohitkumargupta
78
HELLO DEAR,



{5}p_{r} = 6p_{r - 1} \\  \\ \frac{5!}{(5 - r)!} = \frac{6!}{6 - (r - 1)} \\  \\ \frac{5!}{(5 - r)!}= \frac{6*5!}{(7 - r)(6 - r)(5 - r)!} \\  \\ (7 - r)(6 - r) = 6 \\  \\ 42 - 7r - 6r + r^{2} = 6 \\  \\ r^{2} - 13r + 36= 0 \\  \\ r^{2} - 9r - 4r + 36 = 0 \\  \\ r(r - 9)- 4(r - 9) = 0 \\  \\ (r - 4)(r - 9) = 0 \\  \\ r = 4  , r = 9




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Answered by nakshathranambiar200
6

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