sandy wrote:
Explanation
The order of friends doesn’t matter.
There are five friends to choose from for three spots, so the top of your fraction should read: 5*4*3, and to correct for the order of friends not mattering, the bottom of your fraction should be: 321.
\(\frac{5 \times 4 \times 3}{3 \times 2 \times 1}= 10\).
Since he is numbering possibilities sequentially, the numbers 1 through 10 will be on the list, making choices (A) and (B) correct.
what does it mean that he is listing the combinations sequentially? I get that there are a possible 10 different combinations, but I do not understand the wording of "numbering each possible combination sequentially beginning with 1". Thank you for your help!