**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.