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AMC 10 Mock Exam Discussion For 9/21: Question 22

 
 
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AMC 10 Mock Exam Discussion For 9/21: Question 22
by John Lensmire - Thursday, 21 September 2023, 1:26 PM
 

AMC 10 Mock Exam Question 22

Seven distinct pieces of candy are to be distributed among three bags. The red bag and the blue bag must each receive at least one piece of candy; the white bag may remain empty. How many arrangements are possible?

$\displaystyle \textbf{(A) } 1930 \qquad \textbf{(B) } 1931 \qquad \textbf{(C) } 1932 \qquad \textbf{(D) } 1933 \qquad \textbf{(E) } 1934$

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Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.