In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Suman Dey Answered question February 12, 2025
Quick trick! 🎉
- Total ways to select 4 children from 10 (6 boys, 4 girls):
(104)=210\binom{10}{4} = 210 - Ways to select 4 girls (no boys):
(44)=1\binom{4}{4} = 1 - Subtract the no-boy case from the total:
210−1=209210 – 1 = 209
Final Answer:
209 ways to select 4 children with at least one boy! 🎊👦
Suman Dey Answered question February 12, 2025
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