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2016 AMC 10A Problem 20

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2016 AMC 10A Problem 20AMC 10 Step by Step

Name: Date: September 13, 2026

Distributions & Stars and Bars · difficulty 3 of 5 · about 4 min · position P16-20

For some particular value of $N$ , when $(a+b+c+d+1)^N$ is expanded and like terms are combined, the resulting expression contains exactly $1001$ terms that include all four variables $a, b,c,$ and $d$ , each to some positive power. What is $N$ ?

A)
$9$
B)
$14$
C)
$16$
D)
$17$
E)
$19$

2016 AMC 10A Problem 20

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