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-5945.If k+ SPk +1e SlL_uk_—[ k+3Pg. find k... &1 find r[C.F

Answer»

nPk = n!/(n-k)! (k+5)P(k+1) = 11(k-1)/2 (k+3)Pk (k+5)!/(k+5-k-1)! = 11(k-1)/2 * (k+3)!/(k+3-k)! (k+5)(k+4)(k+3)!/4! = 11(k-1)/2 * (k+3)!/3! (k+5)(k+4)/4×3! = 11(k-1)/2 * 1/3! k*k + 9k + 20 = 22k - 22 k*k - 13k + 42 = 0 (k-7)(k-6) = 0 k = 6,7



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