What is 10! / 8!?
- 1.25, because 10/8 = 1.25, dividing the arguments of the factorials gives 1.25 which is not how factorial division works
- 2, because 10 - 8 = 2, subtracting the factorial arguments gives the difference but not the ratio of factorials here
- 90, because 10!/8! = 10 x 9 = 90, the remaining factors after cancellation are 10 and 9 which multiply to 90
Explanation
Since 10! = 10 * 9 * 8!, the 8! cancels with the denominator, leaving 10 * 9 = 90. Factorials cannot be divided by simply dividing or subtracting their arguments, so 1.25 and 2 are wrong methods.
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