Binomial Theorem Test

Result

Binomial Theorem Test - 3

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

If the number of terms in the expansion of (x - 2y + 3z)ⁿ is 45, then what is the value of n?

A
7

B
8

C
9

D
None of these
Question 2
1 / -0

The number of dissimilar terms in the expansion of (a+b+c)¹² is

A
78

B
91

C
13

D
39

Solution

We have the number of dissimilar terms in the expansion of(x+y+z)ⁿis (n+1)+n+(n−1)+...........+3+2+1=(n+1)(n+2)/2

Hence the number of dissimilar terms in the expansion of (a+b+c)¹²=(12+1)(12+2)/2=13.14/2=91
Question 3
1 / -0

In the expansion of (1 + x)^{2n + 1}, let the coefficients of x^r and x^{r + 1} be equal. Then, the value of r is

A
n²

B
n + 1

C
n – 1

D
n