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There are 10 persons oncluding three ladies how many committes of 5 persons can be formed as atleast one lady in each committe

There are 10 persons oncluding three ladies how many committes of 5 persons can be formed as atleast one lady in each committe

Grade:11

1 Answers

Arun
25750 Points
6 years ago
To committee can be formed in the following ways,
(1 lady + 4 gents) or (2 ladies + 3 gents) or (3 ladies + 2 gents) .
Total number of possible arrangements,
(3C1 * 7C4)+(3C2 * 7C3)+(3C3 *7C2)
=> 105 +105 +21 = 231

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