Latest Accenture Aptitude Question SOLUTION: 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. 20

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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
E. None of these

Asked In Accenture (12 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

anirban nayak  (11 years ago)

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 = (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)

= (6 x 4) + 6 x 5 x 4 x 3 + 6 x 5 x 4 x 4 + 6 x 5
2 x 1 2 x 1 3 x 2 x 1 2 x 1
= (24 + 90 + 80 + 15)
= 209.

Is this solution Helpfull? Yes (11) | No (8)  

Joy  (10 years ago)

total=10C4
all r girls=4C4
the ans is 10C4-4c4=209

Is this solution Helpfull? Yes (8) | No (2)  

Nikita Solunke  (4 years ago)

(at least)=Total-None
10c4 - 4c4
=210-1
=209

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