AMC 8 Daily Practice Round 9
Complete problem set with solutions and individual problem pages
Problem 24 Easy
Among five pairs of distinct shoes, four shoes are randomly selected. How many ways can at least one matching pair be formed?
- A.
- B.
- C.
- D.
- E.
Answer:A
The total number of ways to choose any shoes from shoes is:
The number of ways to select shoes without forming any complete pair is:
- Choose different pairs out of the available:
- For each selected pair, choose one shoe ( choices per pair):
- Total ways to pick shoes without forming a pair:
Thus, the number of ways to select shoes with at least one matching pair is:
The answer is .
