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


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.


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


Grade:12th Pass

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
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

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