SOLUTION: Question: For a college application, Macawi must select one of five topics on which to write a short essay. She must also select a different topic from the list for a longer essay

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Question 38282This question is from textbook Algebra 2
: Question: For a college application, Macawi must select one of five topics on which to write a short essay. She must also select a different topic from the list for a longer essay. How many ways can she coose the topics for the two essays? The answer I got was 10. I just want a confirmation. I don't like to use the tree diagram. This question is from textbook Algebra 2

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, 10.
It can be found by 5C2, or five chosen two at a time and equal to
(5*4) / (2*1) = 10