Each of the numbers 1,2,3, and 4 is assigned, in some order, to $p, q, r$, and $s$. The largest possible value of $p^{q}+r^{s}$ is
(A) 12
(B) 19
(C) 66
(D) 82
(E) 83

## Part B: Each question is worth 6 credits.
Solution

The greatest possible value of $p^{q}$ is $3^{4}=81$.

Thus, the greatest possible value of $p^{q}+r^{s}$ is $3^{4}+2^{1}=83$.

ANSWER: (E)

## PART B:

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