If n is an integer and n > 1, then n! is the product of n
Chapter 4, Problem 42E(choose chapter or problem)
If n is an integer and n > 1, then n! is the product of n and every other positive integer that is less than n. For example, 5! = \(5 \cdot 4 \cdot 3 \cdot 2 \cdot\).
a. Write 6! in standard factored form.
b. Write 20! in standard factored form.
c. Without computing the value of \((20 !)^{2}\) determine how many zeros are at the end of this number when it is written in decimal form. Justify your answer.
Text Transcription:
5 cdot 4 cdot 3 cdot 2 cdot
(20!)^2
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