References: Fermat's theorem as a corollary to the multinomial theorem

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Uspensky , J. V. and Heaslet , M. A. 1939 . Elementary Number Theory , McGraw‐Hill .
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Dean , R. A. 1966 . Elements of Abstract Algebra , John Wiley .
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Berman , G. and Fryer , K. D. 1972 . Introduction to Combinatorics , New York : Academic Press .
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Andrews , G. E. 1971 . Number Theory , W. B. Saunders .
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