
Understanding Pascal's Triangle and Binomial Theorem

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main purpose of the binomial theorem?
To find the roots of polynomials
To calculate the area of a triangle
To expand expressions raised to a power
To solve quadratic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the 'C' in 'nCr' stand for?
Count
Choose
Calculate
Combine
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct formula for the binomial coefficient?
n! / (r! * (n-r)!)
(n-r)! / (n! * r!)
n! / (n-r)!
r! / (n! * (n-r)!)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is zero factorial defined as one?
To avoid division by zero
Because zero has no value
To make the binomial theorem work
To simplify calculations
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the zeroth row in Pascal's Triangle?
It is the base for all other rows
It corresponds to the binomial raised to the power of zero
It is used to calculate factorials
It represents the first power of a binomial
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is each number in Pascal's Triangle derived?
By multiplying the numbers above it
By adding the two numbers directly above it
By subtracting the numbers above it
By dividing the numbers above it
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Pascal's Triangle, what does the term '4C3' represent?
The product of the third and fourth elements
The third element in the fourth row
The fourth element in the third row
The sum of the third and fourth elements
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