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5. How many different 3-digit numbers can be

formed using the digits 9, 3, 4, 7, and 6?
Assume no number can be used more
than once.

1 Answer

9 votes

Answer: 60

Reason:

There are 5 different digits given.

We have 5 choices for the first slot, then 4 for the next, and 3 for the last. Count down by 1 each time because we don't reuse any digit.

We have 5*4*3 = 20*3 = 60 different permutations to represent the possible three-digit numbers we can form without repeats.

User Mariam
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