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A team of 12 men is to be formed out of n person. The number of times 3 men ‘C’ ‘D’ and ‘E’ are together is_________.
  • a)
    nC12
  • b)
     n-1C11
  • c)
    n-2C10
  • d)
    None
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A team of 12 men is to be formed out of n person. The number of times ...
Put C,D and E as one unit
∴ Total people to be selected = 10 = 9 ppl + one group of 3
Similarly total no ppl= n-3+1 = n-(C,D,E) + a group of 3 ppl [Note:Here 3 ppl are replaced by one group of 3 ppl ∴ there are counted as one and not 3]

Selection:n-3+1 C10 = n-2C10
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Community Answer
A team of 12 men is to be formed out of n person. The number of times ...
Can be formed from n persons is given by the combination formula:

C(n,3) = n! / (3!(n-3)!)

To find the number of times 3 men can be formed from a team of 12, we need to substitute n = 12 in the above formula and simplify:

C(12,3) = 12! / (3!(12-3)!)
= 12! / (3!9!)
= (12x11x10)/(3x2x1)
= 220

Therefore, 3 men can be formed from a team of 12 in 220 different ways.
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A team of 12 men is to be formed out of n person. The number of times 3 men ‘C’ ‘D’ and ‘E’ are together is_________.a)nC12b)n-1C11c)n-2C10d)NoneCorrect answer is option 'C'. Can you explain this answer?
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