How many different fractions can be made up of the numbers 3, 5, 7, 11, 13, 17 so that each fraction contains 2 different numbers? How many of them will be the proper fractions?
2026-03-30 03:56:24.1774842984
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How many different fractions can be made up of the numbers
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Note that all the numbers are mutually coprime integers and therefore there cannot be cancellations in the fractions. Then you only need to count the number of possible pairs.
The numbers of fraction which have two different numbers according to @Benjamin wang = 6C2×2!=30. Now you can find the solution of next question. To be proper fraction I can't take the value 2! So, the answer of next question=6C2=15