Question
Answer the following questions based on the following information given below: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:A team must include exactly one among P, R and SA team must include either M or Q, but not bothIf a team includes K, then it must also include L, and vice versa.If a team includes one among S, U and W, then it must also include the other twoL and N cannot members of the same teamL and U cannot be members of the same teamThe size of a team is defined as the number of members in the team.In how many ways a team can be constituted so that the team includes N?
Answer: Option E
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If a team includes N, it cannot include 'L'.And therefore not even 'K' (statement five and three)According to the statement one,One of P or R or S has to be included.According to the statement two,One of M or Q has to be selected.So, the following cases are possible:P Q N,R Q N,P M N,R M N,If 'S' is selected,S U W M NS U W Q Nare the only possible cases.Hence, in all 4 + 2 = 6 ways can be constituted.
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