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Question

If x = (a -1)(b - 2)(c - 3)(d - 4)(e - 5), where a, b, c, d and e are distinct natural numbers less than 6. If x’ is non-zero integer, then the number of sets of possible values a, b, c, d and e are:

A
76
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B
119
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C
44
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D
45
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