Binomial- Engineering

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Choose the right Pascal's triangle

• 
• 
• 
• 

Find the coefficient of x³ in the expansion of (1 + x)²⁰

• 1140

• 190

• 4845

• 8000

Find the fourth term of the expansion (5+3y)⁵.

• 2025y⁴
• 750y³
• 75y⁴
• 6750y³

Find the coefficient of x⁴ in...

(3 + x)⁶

• 135

• 15

• 45

• 540

The number of terms in the expansion of  $\left(x+y+z\right)^4$ is 

• 15

• 12

• 9

• 6

The number of terms in the expansion of  $\left(x+y\right)^{51}+\left(x-y\right)^{51}$ is 

• 23

• 24

• 25

• 26

The number of terms in the expansion of  $\left(x+y\right)^{51}-\left(x-y\right)^{51}$ is 

• 23

• 24

• 25

• 26