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A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least three girls.

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प्रश्न

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least three girls.

योग
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उत्तर

We have 4 girls and 7 boys and a team of 5 members is to be selected.

When atleast 3 girls are included

Number of ways = 4C3 × 7C2 + 4C4 × 7C1

= `4 xx (7 xx 6)/(2 xx 1) + 1 xx 7`

= 84 + 7

= 91 ways

Hence the required number of ways are 91 ways.

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अध्याय 7: Permutations and Combinations - Exercise [पृष्ठ १२४]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 7 Permutations and Combinations
Exercise | Q 25.(iii) | पृष्ठ १२४

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