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2021 GMC 10B

Revision as of 01:21, 2 May 2021 by Michaels (talk | contribs) (→‎Problem 1)

Problem 1

What is $5!+3!-4!-2!+1!+0!?$

$\textbf{(A)} ~99 \qquad\textbf{(B)} ~100 \qquad\textbf{(C)} ~101 \qquad\textbf{(D)} ~102 \qquad\textbf{(E)} ~103$

Problem 2

The radius of a circle that has an area of $\frac{\pi}{\sqrt{2}}$ is $r$. Find $r^{2}$

$\textbf{(A)} ~\frac{1}{2} \qquad\textbf{(B)} ~\frac{\sqrt{2}}{2} \qquad\textbf{(C)} ~\sqrt{2} \qquad\textbf{(D)} ~2 \qquad\textbf{(E)} ~4$

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