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Question

Directions:- Study the following information carefully to answer the question 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:-

(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 Includes K, then it must also include L and vice-versa.
(iv) If a team members are among S, U and W. then it must also include the other two.
(v) L and N cannot be members of the same team.
(vi) L and U cannot be members of the same team.
The 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?

A
2
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B
3
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C
4
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D
5
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E
6
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Solution

The correct option is E 6
After analysing the given information, the members of team including N will be P/R/S, M/Q, N,
Teams : P, Q, N, PMN, RMN, RQN, SMN, SRN, Clearly, in six ways a team can be constituted so that the team includes N.


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