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Permutation under Restriction

Directions:- ...

Question

Directions:- Study the following information carefully to answer the question given below.

(I) M, N, P, Q, S and T are six members of a group in which there are three female members. Females work in three departments Accounts. Administration and Personnel and sit in three different floors $^{s t}$ , II $^{n d}$ and III $^{r d}$ . Persons working in the same department are not on the same floor. Two persons work on each floor.
(II) No two ladies work in the same department or on the same floor. N and S work in the same department but not in Personnel. Q works in Administration. S and M are on the I $^{s t}$ and III $^{r d}$ floors respectively and work in the same department. Q, a lady, does not work on the II $^{n d}$ floor. P, a man, works on the I $^{s t}$ floor.

If T is transferred to Accounts and S is transferred to Administration, who is to be transferred to Personnel to maintain the original distribution of females on each floor?

A

P

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B

N

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C

Q

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D

T

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E

Inadequate data

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Solution

The correct option is C Q
On the basis of given information, the following table can be prepared:
$\begin{matrix} M e m b e r & D e p a r t m e n t s & F l o o r & S e x A c c o u n t s & A d m i n i s t r a t i o n & P e r s o n a l & I & I I & I I I & M a l e & F e m a l e M & ✓ & ✓ & ✓ N & ✓ & X & ✓ & ✓ P & ✓ & ✓ Q & X & ✓ & X & X & X & ✓ & ✓ S & ✓ & X & X & ✓ & X & X & ✓ T & X & X & ✓ & X & ✓ & X & ✓ \end{matrix}$

Among S, Q and T who are females, Q is to be transferred to Personnel.

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