A tennis coach is trying to put together a team of four players

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 players 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.

1. If Y is selected and B is rejected, the team will consist of which one of the following groups?

  1. A, W, Y and Z
  2. A, C, W and Y
  3. A, C, Y and Z
  4. A, C, X and Y

2. B is selected and Y is rejected, the team will consist of which one of the following groups?

  1. A, B, C and X
  2. A, B, C and W
  3. A, W, Y and Z
  4. A, B, C and Z

3. If all the three males are selected, then how many combinations of four member teams are possible?

  1. 1
  2. 2
  3. 3
  4. 4

Answer

At least 2 males means either 2 or 3 males and accordingly either 2 or 1 female respectively.

Combinations not allowed: BW, CZ, WY

Y is selected, W cannot be in team. C and Z cannot be in team.

  1. D
  2. A
  3. B