Direction: K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions :
(i) A team must include exactly one among P, R and S.
(ii) A team must include either M or Q but not both.
(iii) If a team include K, then it must also include L, and vice versa.
(iv) If a team include one among S, U and W then it must also include the other two.
(v) L and N cannot be members of the same team. L and U cannot be members of the same team
(vi) The size of a team is defined as the number of members in the team.
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In how many ways a team can be constituted so that the team includes N?
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- 2
- 3
- 4
- 5
- 6
Correct Option: E
Given in the question ,
If the team includes N, then it does not include L and K.
One out of M and Q can be include and one out of P,S and R can be included. If S is a member, so are U and W will also be member.
So we can select one out of M and Q in 2 ways
And we can select one out of P, S and R in 3 ways
Hence total number of ways = 2 x 3 = 6 ways.
