alleryThe expansion of $(a + b)^n$ contains how many terms?
A$n$, since there are $n$ coefficients in the formula chart
B$2n$, since each power contributes two terms here
C$n + 1$, from $k = 0$ to $k = n$ in the formula
D$2^n$, the count of subsets in Pascal's triangle entry
Answer & Solution
Correct answer: C. $n + 1$, from $k = 0$ to $k = n$ in the formula
The binomial expansion has $n + 1$ terms ($k = 0, 1, \ldots, n$).
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