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      Question

      In how many ways will a team of 5 people be selected out

      of 12 people such that a specific person will always be selected, and a specific person will always remain?
      A 192 Correct Answer Incorrect Answer
      B 119 Correct Answer Incorrect Answer
      C 145 Correct Answer Incorrect Answer
      D 210 Correct Answer Incorrect Answer

      Solution

      total people =12 1 always must choose which means now we must choose from the remaining 11. 4 players. But 1 player is never chosen it means 4 to choose from (11-1=10) =10C4 =10! / (4! Γ—6!) = (10Γ—9Γ—8Γ—7)/ (4Γ—3Γ—2Γ—1) =210.

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