Binomial Theorem

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

• 84x⁵y²
• 36x⁴y³
• x⁵y²
• 6x²y⁵

Find the 6th term in the expansion of (3x+2)⁸

• 108864x⁵

• 48384x³

• 108864x³

• 48384x⁵

The coefficient of x² in the expansion of (5x - 1)¹² is ___.

If (a + 5x)(1 + 4x)ⁿ = 11 + 313x + bx² + ..., where a and b are constants and n is a positive integer. The value of n is ___.

In the expansion of (1 - 3x)ⁿ + (1 + x)ⁿ, where n is a positive integer, the coefficient of x² is 150. The value of n is ___.

Expand (2 - 3x)⁵(5x + 4)³ and the constant term is ___.

If _nC₂ = 28, then what is the value of n?

• 8

• 7

• 6

• 5

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%

• 17.62%

• 58.81%

• 41.19%