You are choosing numbers from the set S = {A, B, C, D, E, F, G, H}. Let x = the number of ways to choose 3 letters from S without replacement (order doesn't matter). Which option below is equivalent to x?

Question

Mathematics

Gunnar Medina

30 June, 08:54

You are choosing numbers from the set S = {A, B, C, D, E, F, G, H}. Let x = the number of ways to choose 3 letters from S without replacement (order doesn't matter). Which option below is equivalent to x?

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Answers (1)

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Karissa Yates · Answer 1

Given set S = {A, B, C, D, E, F, G, H}

There are 8 elements in set S and we are to choose 3 letters at random, the number of ways to choose such is x. It is simply similar to choosing 5 letters at random, which is also equal to x. Since order doesn't matter, n! / (n-m) ! where n = 8 and m = 3, which is 336 ways.