Team of 12 is needed to be formed which are to be selected from 7 men and 12 women, with the restriction of selecting not more than 3 men. In how many ways can the team be formed?
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1 point
A 9171
B 8243
C 7835
D 9967

• As team of 12 is to be selected with not more than 3 men, then possible combinations are
  (0M & 12W) + (1M + 11W) + (2M + 10W) + (3M + 9W)
  .'. Number of ways = (7C0x12C12) + (7C1x12C11) + (7C2x12C10) + (7C3x12C9) = 1 + 84 + 1386 + 7700
  = 9171 (Ans)
• 1 year agoHelpfull: Yes(0) No(0)