Question

Read the following passage and answer the question
A tennis coach is trying to put together a team of four players for the forthcoming tournament. For these 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 can not play with Z, and W cannot play with Y.

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

Options

• 1

• 2

• 3

• 4

Answer 1

2
Explanation:
According to the question

Males			Females
A	B	C	W	X	Y	Z
—	✓	χ	χ	—	—	—
—	—	✓	✓	—	χ	χ

If all three males are selected, then three of the team members are A, B, and C.
Now, W cannot be a part of the team because she cannot play with B, and Z cannot be selected because she cannot play with C. Hence, there can be only two combinations of a four-member team, i.e. ABCX and ABCY.