PU-MET : Panjab University MBA Entrance Exam with MCQ Answers 2024

Practice Mode:
47.

Read the following passage and answer the three items that follow :

A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 player are available : males A, B and C; and females W,X,Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

If all the three males are selected, then how many combination of four member teams are possible ?
A: 1
B: 2
C: 3
D: 4

The answer is: B

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Explanation

Let's analyze the problem step by step.

Given Constraints:

  1. Available Players: 
    • Males: A, B, C
    • Females: W, X, Y, Z
  2. Team Composition: 
    • Must have 4 players
    • At least 2 males (already satisfied since all three males are selected)
    • All selected players must be able to play with each other.
  3. Incompatibilities: 
    • B cannot play with W
    • C cannot play with Z
    • W cannot play with Y

Given Condition:

  • All three males (A, B, and C) are selected
  • We need to select one female from W, X, Y, Z such that there are no conflicts.

Step 1: Checking possible female selections

  1. W
    • B cannot play with W  (Invalid)
  2. X
    • No restrictions →  (Valid)
  3. Y
    • No restrictions with A, B, or C →  (Valid)
  4. Z
    • C cannot play with Z (Invalid)

Step 2: Counting Valid Combinations

The valid combinations are:

  1. A, B, C, X
  2. A, B, C, Y

Thus, only 2 valid teams are possible.

Correct Answer:

Option B: 2