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- In a group of 6 boys and 4 girls, four children are to be selected.
Question 1:
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? A. 159
B. 194
C. 205
D. 209
Feedback Required number of ways = (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
= (6C1 x 4C1)+(6C2x4C2)+(6C3 x 4C1)+(6C2)
= (6 x 4) +(6 x5/2x1)x(4 x 3/2x1)+(6x5x4/3x2x1x 4)+(6x5/2x1)
=(24 + 90 + 80 + 15)=209
= (6C1 x 4C1)+(6C2x4C2)+(6C3 x 4C1)+(6C2)
= (6 x 4) +(6 x5/2x1)x(4 x 3/2x1)+(6x5x4/3x2x1x 4)+(6x5/2x1)
=(24 + 90 + 80 + 15)=209
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