Q37·Section B (Part B)·37 of 120Wilson, Fermat and Legendre-type divisibility statementsWhich of the following statements is true? OptionsAp∤1+(p−1)!p\nmid1+(p-1)!p∤1+(p−1)! for some odd prime ppp.Bp∣(1234)p−1−1p\mid(1234)^{p-1}-1p∣(1234)p−1−1 for all primes p>700p>700p>700.CThere exist a∈Za\in\mathbb Za∈Z and a prime p>11p>11p>11 such that p∤ap−ap\nmid a^p-ap∤ap−a.Dp∤(p2)!(p!)2p\nmid\dfrac{(p^2)!}{(p!)^2}p∤(p!)2(p2)! for some odd prime ppp.Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q36All questionsQ38 →Keyboard: A–D answer · S solution · ←/→ previous/next