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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?
  • a)
    235
  • b)
    145
  • c)
    215
  • d)
    185
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A group for outdoor games has to be formed out of 10 kids (4 boys and ...
Explanation:
The possible cases can be:
  1. 4 boys and 4 girls
  2. 3 boys and 3 girls
  3. 2 boys and 2 girls
Ways of selecting of 4 boys out of 4=4C4=1
Ways of selecting of 3 boys out of 4=4C3=4
Ways of selecting of 2 boys out of 4=4C2=6
Ways of selecting of 4 girls out of 6=6C4=15
Ways of selecting of 3 girls out of 6=6C3=20
Ways of selecting of 2 girls out of 6=6C2=15
Total possible ways N=(1×15)+(4×20)+(6×15)
N=15+80+90=185
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A group for outdoor games has to be formed out of 10 kids (4 boys and 6 girls). If the group should have more than 2 kids and the number of boys and girls should be equal in the group, then how many groups are possible?a)235b)145c)215d)185Correct answer is option 'D'. Can you explain this answer?
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