SSC CHSL Model Paper 2

Question : 60 of 100

Marks: +1, -0

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?

Validate

Solution:

We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number of ways

= ( ^6C_1 × ^4C_3) + ( ^6C_2 × ^4C_2)

+ ( ^6C_3× ^4C_1) + ( ^6C_4)

= (24 + 90 + 80 + 15) = 209

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