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PIMSO 2022 - Mathematics - Senior Secondary - National Round Question 27

PIMSO Maths · PIMSO 2022 - Mathematics - Senior Secondary - National Round

Question 27

What is the sum of all the coefficients of the terms of the multinomial expansion of $(a_1+a_2+a_3+\cdots+a_k)^n$, where k and n are both natural numbers? (Express your answer in terms of k and n.)

Input format: use pi, sqrt(...), ^ for powers, * for multiplication and / for division as needed.