MathDB

Math Prize 2022 Problem 17

Source:

October 12, 2022

Problem Statement

Let

O

be the set of odd numbers between 0 and 100. Let

T

be the set of subsets of

O

of size

25

. For any finite subset of integers

S

, let

P(S)

be the product of the elements of

S

. Define

n=\textstyle{\sum_{S \in T}} P(S)

. If you divide

n

by 17, what is the remainder?

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