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
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
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