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1954 AHSME Problems/Problem 10

Revision as of 13:18, 6 June 2016 by Katzrockso (talk | contribs) (Created page with "== Problem 10== The sum of the numerical coefficients in the expansion of the binomial <math>(a+b)^6</math> is: <math>\textbf{(A)}\ 32 \qquad \textbf{(B)}\ 16 \qquad \textb...")
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Problem 10

The sum of the numerical coefficients in the expansion of the binomial $(a+b)^6$ is:

$\textbf{(A)}\ 32 \qquad \textbf{(B)}\ 16 \qquad \textbf{(C)}\ 64 \qquad \textbf{(D)}\ 48 \qquad \textbf{(E)}\ 7$

Solution

$P(1,1)=(1+1)^6=2^6=64$, $\fbox{C}$

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