Study the information carefully and answer the question. A Confectioner is making gift boxes of chocolates. Each box will contain exactly two kinds of chocolates (white and dark) to be selected from…
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Study the information carefully and answer the question.
A Confectioner is making gift boxes of chocolates. Each box will contain exactly two kinds of chocolates (white and dark) to be selected from X, Y, and Z and 3 kinds of imported Swiss and Belgian chocolates to be selected from A, B, C, D, and F, with the following restrictions:
(I) Y cannot be in the same box as F
(II) A cannot be in the same box as D
(III) B cannot be in the same box as F
A Confectioner is making gift boxes of chocolates. Each box will contain exactly two kinds of chocolates (white and dark) to be selected from X, Y, and Z and 3 kinds of imported Swiss and Belgian chocolates to be selected from A, B, C, D, and F, with the following restrictions:
(I) Y cannot be in the same box as F
(II) A cannot be in the same box as D
(III) B cannot be in the same box as F
Which of the following chocolate must be included in each of the boxes?
- X
- Y
- A
- C
Answer and explanation
Correct answer: D - C
We pick 3 from A, B, C, D, F. Without C, every triple from {A,B,D,F} has A with D or B with F: ABD, ABF, ADF and BDF all break a rule. So every valid box must contain C.
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CUSAT CAT Five-Year LL.B.
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