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3 votes
In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are

5 finalists. In how many different ways can the 3 medals be awarded?

User Splashdust
by
8.2k points

2 Answers

3 votes

Answer:

60 ways

Explanation:

There are five finalist and 3 medals.

For getting the first medal, there are 5 choices, any of the finalist can get that.

For getting the second medal, we are left with 4 choices.

For getting the third medal we are left with 3 choices.

Hence, the number of ways 3 medals can be awarded are:

5×4×3=60 ways

User Gery
by
7.9k points
1 vote
Answer
60 ways

Explanation
In permutation the order really matters unlike combination where order does not matter.
The question wants you to find how many time you can choose 3 out of 5 with order.
This means we should find 5 permutation 3.

5P3=5!/3!
=(5×4×3×2×1)/(3×2×1)=5×4
=60
User Milan Rakos
by
7.8k points