**Use the binomial theorem to find the coefficient of x^a y^b in the expansion of (2x^3 − 4y^2) 7, where a) a = 9, b = 8. b) a = 8, b = 9. c) a = 0, b = 14. d) a = 12, b = 6. e) a = 18, b = 2. 35) How many unique partitions of the word ARKANSAS are there? 36) A group of six students consists of 3 seniors, 2 juniors, and 1 sophomore. How many unique partitions of this group of students are there by grade?**

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**Here's the Solution to this Question**

Use the binomial theorem to find the coefficient of x^a y^b in the expansion of (2x^3

− 4y^2)

7, where

a) a = 9, b = 8.

b) a = 8, b = 9.

c) a = 0, b = 14.

d) a = 12, b = 6.

e) a = 18, b = 2.

35) How many unique partitions of the word ARKANSAS are there?

36) A group of six students consists of 3 seniors, 2 juniors, and 1 sophomore. How

many unique partitions of this group of students are there by grade?