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Example 12Find the value of n such that(i)nP,-42"R, n > 4 |
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Answer» nPk = n!/(n-k)! nP5 = 42 × nP3 n!/(n-5)! = 42 × n!/(n-3)! (n-3)!/(n-5)! = 42 (n-3)(n-4)(n-5)! / (n-5)! = 42 (n-3)(n-4) = 6×7 = (10-3)(10-4) n = 10 If you find this answer helpful then like it. |
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