# Solutions

Calculus Level 4

Let $2^{a_1} + 3^{a_2} + 5^{a_3} + 7^{a_4} + 9^{a_5}$ is divisible by 4 , where $a_{1} , a_{2} , ....... , a_{5}$ are digits. If the number of solutions of $(a_{1} , a_{2} , a_{3} , a_{4} , a_{5})$ is P , then

$\frac{P}{9 X 5^{4}} =$

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