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| Math Central | Quandaries & Queries |
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Question from Sarah: Hello! My question is: how may I determine all the possible ways I can get sets of 5 out if this? Thanks!
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Hi Sarah,
As I read this you are to choose one number from each column to get a set of 5 numbers.
If this is correct then there are 5 ways to choose a number from the first column and regardless of which number you choose you have 5 ways to choose a number from the second column. Hence there are $5 \times 5 = 5^2$ ways to create a set of 2 numbers, one from each of the first two columns.
For each of these $5^2$ ways to choose a 2 number set there are 5 ways to choose a number from the third column and hence there are $5^2 \times 5 = 5^3$ ways to choose a 3 number set from the first three columns.
I hope this helps. let me know if I have misinterpreted your question.
Penny
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