1 Expand (2x 2 3) 4 2 What is the numerical coefficient for the term containing x 2 y 3 in the expansion of (x 3y) 5 3 What is the fourth term of (x 2y) 6 4 Prove that C(n, r) C(n 1, r 1) C(n 1, r) (2 Marks) 5 Prove that C(n, r) C(n, n r) Course Combinatorial Analysis

Question: 1. Expand (2x 2 - 3) 4 2. What is the numerical coefficient for the term containing x 2 y 3 in the expansion of

1. Expand (2x² - 3)⁴

2. What is the numerical coefficient for the term containing x²y³ in the expansion of (x - 3y)⁵?

3. What is the fourth term of (x + 2y)⁶?

4. Prove that C(n, r)= C(n-1, r-1) + C(n-1, r) (2 Marks)

5. Prove that C(n, r)= C(n, n-r)

Course :Combinatorial Analysis

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Lets tackle each problem one by one 1 Expand 2 x 2 3 4 2 x 2 3 4 This expression involves applying the Binomial Theorem which states a b n n k 0 n k a ... View full answer

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