# There are 15 boys and 10 girls in your class. A four member committee is to be formed from the students of your class. In how many ways this can be done if the committee consists at least three girls

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by rajdip

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by rajdip

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There are 25 students total. 4 students are taken at a time.
Then no. Of ways
25!/(25-4)!4!=7286400 ways.

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There will be two cases.

**In first 3 girls and 1 boy**, number of ways = 10C3× 15C1 = 1800 ways

**In second case, 4 girls and 0 boys,**

number of ways = 10C4 =210

**so total number of possible ways = 1800 + 210 = 2010**

number of ways = 10C4 =210