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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(Iii) at Least 3 Girls? - Mathematics

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(iii) at least 3 girls? 

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Solution

If the team has at least 3 girls, then the number of ways of selecting 5 members =\[{}^4 C_3 \times^7 C_2 +^4 C_4 \times^7 C_1 = 84 + 7 = 91\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 19.3 | Page 16
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