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A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team isA. 380B. 320C. 260D. 95 |
Answer» Correct Answer - A Either one boy will be selected or no boy will be selected. Also out of four members one captain is to be selected. `therefore`Required number of ways`=(.^(4)C_(1)xx.^(6)C_(3)+.^(6)C_(4))xx.^(4)C_(1)` `=(4xx20+15)xx4=95xx4=380` |
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