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What is the general $(r+1)$th term in the expansion of $(a + b)^{n}$?

A$\binom{n}{r-1}a^{n}b^{r}$
B$\binom{n}{r}a^{r}b^{n-r}$
C$\binom{n}{r}a^{n-r}b^{r}$
D$a^{n-r} + b^{r}$
Answer & Solution
Correct answer: C. $\binom{n}{r}a^{n-r}b^{r}$
$T_{r+1} = \binom{n}{r} a^{n-r} b^{r}$.
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