What does the notation 7C3 represent?
A. the number of ways to choose all but 3 times out of 7, where order doesn't matter
B. the number of ways to choose 3 items out of 7, where order doesn't matter
C. the number of ways to choose all but 3 items out of 7, where order does matter
D. the number of ways to choose 3 numbers out of 7, where order doesnt matter

Question

What does the notation 7C3 represent?
A. the number of ways to choose all but 3 times out of 7, where order doesn't matter
B. the number of ways to choose 3 items out of 7, where order doesn't matter
C. the number of ways to choose all but 3 items out of 7, where order does matter
D. the number of ways to choose 3 numbers out of 7, where order doesnt matter

theeric · Answer

http://www.mathsisfun.com/combinatorics/combinations-permutations.html A little past halfway down it shows one combination notation is like$$_7C_3$$which should sound like "7 choose 3." What's more is it is a combination, noted by the "C." Combinations means order doesn't matter! Narrowing it down more, I don't think the notation specifies WHAT is chosen. I hope somebody can double-check this, though!

theeric · Answer

$$\large \text{Different ways to say the same thing:}$$"7 choose 3" <-> you have 7, choose 3 <-> choose 3 from seven <-> choose 3 out of seven

theeric · Answer

I think that narrows it down to one choice.

anonymous · Answer

Which is B. Thank you for your help.

theeric · Answer

That's what I think! Take care!