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no of subsets of {1, 2,... , 2100} with sum of elements 3 mod 7

Source: IFYM - XI International Festival of Young Mathematicians Sozopol 2022, Theme for 11-12 grade, 4th round p5

November 12, 2022
remaindernumber theory

Problem Statement

Find the number of subsets of {1,2,...,2100}\{1, 2,... , 2100\} such that each has sum of the elements giving a remainder of 33 when divided by 77.
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