Difference between revisions of "2021 Fall AMC 10A Problems/Problem 21"

(redirect to 12A #18)
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Each of the <math>20</math> balls is tossed independently and at random into one of the <math>5</math> bins. Let <math>p</math> be the probability that some bin ends up with <math>3</math> balls, another with <math>5</math> balls, and the other three with <math>4</math> balls each. Let <math>q</math> be the probability that every bin ends up with <math>4</math> balls. What is <math>\frac{p}{q}</math>?
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#REDIRECT [[2021_Fall_AMC_12A_Problems/Problem_18]]
 
 
<math>\textbf{(A)}\ 1 \qquad\textbf{(B)}\  4 \qquad\textbf{(C)}\  8 \qquad\textbf{(D)}\
 
12 \qquad\textbf{(E)}\ 16</math>
 

Latest revision as of 19:50, 23 November 2021