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A group consists of 9 men and 6 women. A team of 6 is to be selected. How many of possible selections will have at least 3 women?

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There are 9 men and 6 women. A team of 6 persons is to be formed such that it consist of at least 3 women.

Consider the following table:

∴ No. of ways this can be done

= 1680 + 540 + 54 + 1 = 2275

∴ 2275 teams can be formed if team consists of at least 3 women.

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