Complete the details in the proof of the multinomial theorem. Multinomial theorem. For positive integers n, t,
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Multinomial theorem.
For positive integers n, t, the coefficient of x1n1x2n2x3n3 . . . xtnt in the expansion of (x1 + x2 + x3 + . . . + xt)n is
where each ni is an integer with 0 ¤ ni ¤ n, for all 1 ¤ i ¤ t, and n1 + n2 + n3 + . . . + nt = n.
Transcribed Image Text:
п! ni!n2! n3! n,!
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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