Asked by Eve

Hi. I know there must be a formula for this question, but I just can't figure it out.

Q.) Imagine a large multiple choice sheet printed with response spaces like the sample below. Now how many unique responses can be encoded? Explain your reasoning!

(A)(B)(C)(D)(E)(F)(G)(H)(I)

Answers

Answered by bobpursley
well, you can have 9 single answers
and 9*8 double answers
and 9*8*7 triple answers and so on.

It looks as if the sum must be

Sum(9-n)!/(n)! from n=0 to 8
check that.

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