Binomial Expansion Using Permutations and Combinations

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4

• -24

• -96

• 216

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• 262440x³

• 262440

What is the third term for the expansion (2x-5)⁵?

• 2000x³

• 500x³

• 5000x²

• 800x³

Find the expansion

• a⁵ − 5a⁴b + 10a³b² − 10a²b³ + 5ab⁴ − b⁵

• a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

• a⁵ - 5a⁴b - 10a³b² - 10a²b³ - 5ab⁴ - b⁵

• a⁵ − 5ab + 10ab − 10ab + 5ab − b⁵

• A
• B
• C
• D

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

• 
• 
• 
• 

Find the 4th term in the expansion of (4x-3)⁵.

• 5760

• -4320x²

• 5760x³

• -4320

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

• A
• B
• C
• D