The sum of the last eight coefficiennts in the expansion of `(1+x)^(15)` is
(1) `2^(16)`
(2) `2^(15)`
(3) `2^(14)`
(4) `2^(8)`

Explanation

To find the sum of the last eight coefficients in the expansion of \((1+x)^{15}\), we can follow these steps:

### Step 1: Understand the Binomial Expansion
According to the binomial theorem, the expansion of \((1+x)^n\) is given by:
\[ (1+x)^n = \sum_{r=0}^{n} \binom{n}{r} x^r \]
For our case, \(n = 15\), so we have:
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