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      Question

      In how ways can the selection be made so that a

      particular member is always excluded?     There are 5 members in a delegation which is to be sent abroad. The total no. of members is 11. 
      A 722 Correct Answer Incorrect Answer
      B 482 Correct Answer Incorrect Answer
      C 340 Correct Answer Incorrect Answer
      D 252 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      As 1 person is always excluded, members are to be chosen out of 10 persons. ∴ Reqd. no. of ways = 10C_5  =   (10  ×   9 ×  8 ×  7 × 6)/(5 × 4 × 3 × 2)  =   252

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