United States of America
Grades 9-12
3.02 The binomial theorem
Adaptive
Worksheet
Interactive practice questions
The 4th row of Pascal’s triangle consists of the numbers $1,4,6,4,1$1,4,6,4,1. Write down the numbers in the 5th row of Pascal’s triangle in the correct order.
Medium
< 1min
Which row of Pascal’s triangle would give us the coefficients of terms in the distribution of $\left(x+y\right)^7$(x+y)7?
Medium
< 1min
The $3$3rd row of Pascal’s triangle contains the elements $1$1, $3$3, $3$3, $1$1. Each of these can be rewritten in $\nCr{n}{r}$nCr form: $\nCr{3}{0}$3C0, $\nCr{3}{1}$3C1, $\nCr{3}{2}$3C2, $\nCr{3}{3}$3C3.
Rewrite each element of the $5$5th row of Pascal’s triangle as an $\nCr{n}{r}$nCr coefficient.
Medium
2min
You are given some of the entries in a particular row of Pascal’s triangle. Fill in the missing entries.
Medium
< 1min
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