Multiple choice

The office staff of XYZ corporation presently consists of three bookeepers--A, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookeepers and 3 secretaries of the present staff . To do so they plan to seperate certain individuals who don't function well together. The following guidelines were established to set up the new office I. Bookeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team II. C and E function well alone but not as a team, they should be seperated III. D and G have not been on speaking terms and shouldn't go together IV Since D and F have been competing for promotion they shouldn't be a team

If C and F are moved to the new office, how many combinations are possible

  1. 1

  2. 2

  3. 3

  4. 4
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

With bookkeeper C fixed and secretary F fixed, we need one more bookkeeper (A or B) and 2 more secretaries from {D, E, G, H}. Rule I says A and C cannot be together, so we must pick B. Rule II says C and E cannot be together, so E is excluded. From {D, G, H}, we need 2 secretaries, but Rule III says D and G cannot be together. So we must choose either {D, H} or {G, H}. This gives exactly 1 valid combination: BCFDH.

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