Question

If P, Q, R, S are 4 individuals, how many teams of size exceeding one can be formed, with Q as a member?

Options :

  1. 5

  2. 7

  3. 8

  4. 6

Show Answer

Answer :

7

Solution :

Case 1: The number of teams with 2 members can be formed with Q as a member

Out of the 2 members, one member is Q and another member can be selected from the remaining three members.

The number of teams can be formed = 3 C 1 = 3

Case 2: The number of teams with 3 members can be formed with Q as a member

Out of the 3 members, one member is Q and another 2 members can be selected from the remaining three members.

The number of teams can be formed = 3 C 2 = 3

Case 3: The number of teams with 4 members can be formed with Q as a member

Out of the 4 members, one member is Q and another 3 members can be selected from the remaining three members.

number of teams can be formed = 3 C 3 = 1

Now, the total number of teams can be formed = 3 + 3 + 1 = 7

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