Solve Combination Problem: Choose 4 Shoes from 5 Pairs

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Homework Statement



A closet has 5 pairs of shoes. The number of ways in which 4
shoes can be chosen from it so that there will be no complete pair are?

Homework Equations



Permutation and Combination formulae

The Attempt at a Solution



I tried but couldn't figure it out anyway.
 
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Since you don't want to have a pair you are only left with 5 shoes to pick from. Now choose 4 from that.