WorksheetsTony and Peter's Binomial Theorem
Total questions: 10
Worksheet time: 5mins
What triangle do you use to find out the coefficients of a binomial?
Pascal
Factorial
Sigma
Gamma
What does ! mean?
In Sum Of
n choose k
Factorial
Combinatorics
What is the 3rd term of (x+y)4
6x3y
6x2y2
4x2y2
2xy3
(x+y)5
x5+ 5x4y+ 10x3y2 +10x2y3 +5xy4+y5
x4+ 5x3y+ 10x2y2 +10x1y3 +y4
x5+ 5x4y+ 15x3y2 +15x2y3 +5xy4+y5
x5+ 5x4y+ 10x3y2 +10x2y3 +5xy4+y5
What does Σ represent?
Alpha
Sigma
Union
Intersection
What row of Pascal Triangle is
1,8,28,56,70,56,28,8,1 ?
8
7
9
6
What is the 5th term in the 9 row of the Pascal Triangle?
36
84
126
9
What formula is used to find the coefficients of a binomial (known as n choose k)?
k!
n!(k-n)!
n!
n!(n-k)!
k!
n!(k-n)!
n!
k!(n-k)!
Find 6 choose 4
9
24
15
16
Did Tony and Peter explain the Binomial Theorem well?
Definitely Yes
