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Exam Pattern Mix Question 59 – answer, explanation & discussion

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Question 59 Back to Exercise

4 shoes are taken from 5 different pairs. In how many ways can this be done so that no complete pair is taken?

  • A 210
  • B 120
  • C 80 Correct
  • D 130
Correct Answer: Option C

Choose 4 of the 5 pairs: 5C4 = 5

One shoe from each: 2⁴ = 16

5 × 16 = 80

Trap: 130 is the number with at least one pair.

Answer: 80

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