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 • 4 • 3 • 2 • 1.
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.
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