Problem 42E

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.

Technical Vocab – PHIL 1010 Lecture 2 Key: Terms – ___ Topics – ___ Important – ___ What is an argument o Arguments are statements that represent an inference. o Premises are statements that support a conclusion. What is an inference o Inferences are thoughts that we believe is true. Inferences can take place conscious or unconsciously. o Inferences are implicit while arguments are explicit. o Implicit thoughts are implied, suggested, or understood but not directly expressed. o Explicit thoughts are usually overly expressed. Sentences & Statements o Sentences are grammatically correct string of words. o Declarative sentences can be either true or fa