How many ways are there to choose three items from five without regard to order?

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Multiple Choice

How many ways are there to choose three items from five without regard to order?

Explanation:
When order doesn’t matter, you use combinations. This is the number of ways to choose 3 items from 5, written as 5 choose 3. The formula is 5!/(3!2!) = (5×4×3×2×1)/(6×2) = 120/12 = 10. Another way to see it is that choosing 3 to take is the same as choosing 2 to leave out, so 5 choose 2 = 10. Therefore, there are 10 possible selections.

When order doesn’t matter, you use combinations. This is the number of ways to choose 3 items from 5, written as 5 choose 3. The formula is 5!/(3!2!) = (5×4×3×2×1)/(6×2) = 120/12 = 10. Another way to see it is that choosing 3 to take is the same as choosing 2 to leave out, so 5 choose 2 = 10. Therefore, there are 10 possible selections.

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