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Counting

 

There are five boys A, B, C, D, E who are to form a team to accomplish a particular task. How many distinct teams can be formed that contains at least one of the boys such that A & B don’t want to be in same team and also C & D don’t want to be in same team?

1. 15
2. 16
3. 17
4. 18
5. None of these

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11 comments

    1. SORRY, THE CORRECT ANSWER IS A,B,C,D,E,AC,BC,CE,DE,AD,BD,ACE,AE,BE,ADE,CBE,DBE= 17

  1. One boy each – 5
    Pair of boys – 8
    Group of 3 boys – 4
    Total distinct teams = 17

  2. Priyanka rathi

    17
    Correct me if m wrong about my method
    A-3 ways
    B-3
    C-3
    D-3
    E-5 ways
    Sum of all 17

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