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MathNet 2023-part-02 — 191 problems (EN–VI) Question 168

Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)

Question 168

After expanding the polynomial $(1 + x + y)^{2023}$ and collecting like terms, we obtain the expression
$$
a_0 + a_1x + a_2y + a_3x^2 + a_4xy + a_5y^2 + \dots + a_ky^{2023}
$$
Find the total number of $a_i$'s which are divisible by $5$.