alleryFive factorial can be rewritten as five times which quantity?
AFour squared
BFour halves
CFour thirds
DFour factorial
Answer & Solution
Correct answer: D. Four factorial
1. Factorial is a descending product, so it peels one factor at a time.
2. Removing the leading factor leaves the factorial of the next number down.
3. So five factorial equals five times four factorial.
4. That recursion is what makes the later cancellations work.
_Source: syllabus Mathematics, Ch 6 'Permutations and Combinations'_
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