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Grade 12Algebra

9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes.The number of ways of arranging one ball in each of the boxes is(A)18720(B)18270(C)17280(D)12780Please tell.me this question.

Profile image of Yash Nagpal
9 Years agoGrade 12
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1 Answer

Profile image of Khimraj
9 Years ago
First off all select 5 boxes out 6 boxes in which 5 big ball can fit then arrange these ball in theae 5 boxes and then put remaining 4 ball in any remaining box. So Ans is [(6C5)5!](4!) = 6!4! = 17280.Hope it clears. If u have doubts then please clearify. And if u like my answer then please approve answer