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4 balls are to be selected from a group of 11 bolls. 5 of them are of type A, 2 of them are type B, 2 are of type R, one of type K and one of type D.

1)In how many ways we can select 4 balls out of these 11 balls?

2)In how many ways we can arrange 4 balls out of these 11 balls in a line?

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15 Years agoGrade
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1 Answer

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11 Years ago

TOTAL ARRANGEMENTS OF THESE BALLS 11!/(5!*2!*2!)=83160 4 BALLS CAN BE ALL OF SAME TYPE 1WAY 3sAME 1 DIFFERENT 1*4*4!/3! 2SAME 2DIFFERENT 3*4C2*4!/2! 2 SAME1 TYPE 2SAME ANOTHER TYPE 3C2*4!/2!*2! all different=5! 1+16+18+216+120 =371