Each of the numers 1,2,3, and 4 is substituted, in some order for $p, q, r$, and $s$. The greatest possible value of $p^{q}+r^{s}$ is
(A) 14
(B) 19
(C) 66
(D) 83
(E) 162
Solution

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

The greatest possible value of $p^{q}+r^{s}$ is $3^{4}+2^{1}$ or 83 .

ANSWER: (D)