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    Question

    There are 5 members in a delegation which is to be sent abroad. The total no. of members is 11. 

    In how ways can the selection be made so that a

    particular member is always excluded?    
    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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