MathematicsA closet has 5 pairs of different types of shoes. How many ways 4 shoes can be drawn from the closet so that there will be no complete pair?

A closet has 5 pairs of different types of shoes. How many ways 4 shoes can be drawn from the closet so that there will be no complete pair?


  1. A
    200
  2. B
    160
  3. C
    40
  4. D
    80 

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    Solution:

    Total shoes = 5 pairs of shoes
    = Total ways of selecting 4 pair out of 5
    Now for every pair, on selecting 1 shoe, this can be done in 1 pair out of 2 ways
    Total number of ways
    Hence, Option (4) is the correct answer.
     
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