Answered: Wilson’s Theorem states that if n is a…

Wilson’s Theorem states that if n is a prime number, then n divides (n−1)! + 1. Which of the following is a divisor of 12! · 6! + 12! + 6! + 1? A. 21 B. 77 C. 91 D. 115 E. 143

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

10. Wilson’s Theorem states that if n is a prime number, then n divides (n−1)! + 1. Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?

A. 21

B. 77

C. 91

D. 115

E. 143

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