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In how many ways it is possible to divide 6 identical green balls,6 identical blue balls, 6 identical red balls among 2 persons such that each get equal number of items?

In how many ways it is possible to divide 6 identical green balls,6 identical blue balls, 6 identical red balls among 2 persons such that each get equal number of items?

Grade:11

1 Answers

KUNAL PATEL
57 Points
6 years ago
THERE ARE TOTAL 18 BALLS(6 GREEN+6 BLUE+6 RED)
THESE BALLS SHOULD BE DISTRIBUTED EQUALLY AMONG TWO PERSONS SO THERE ARE AS MANY NUMBER OF WAYS AS IN WHICH WE CAN DIVIDE THESE BALLS IN TWO EQUAL GROUPS OF 9-9 BALLS.
SO THE REQUIRED ANSWER IS          18!/(9!*9!*2!).
HERE 2! IS BECAUSE TWO GROUPS HAVE SAME SIZE THAT IS 9.
HOPE YOU GET THE ANSWER

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