over the years, many interesting patterns have been discovered in pascals triangle. explore a few of them in the problem below. refer to pascals triangle and complete (a) through (c) below. click the icon to view the first 10 rows of pascals triangle. (a) choose a row whose row number is prime. except for the 1s in this row, what is true of all the other entries? (b) choose a second prime row number and see if the same pattern holds. (c) use the usual method to construct row 11 in pascals triangle. verify that the same pattern holds. (a) choose a row whose row number is prime. except for the 1s in this row, what is true of all the other entries? choose the correct answer below. a. all are multiples of the row number. b. the difference between each adjacent pair is constant. c. all are 1 less than an even square number. d. their row sum is equal to the row number squared.

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# Explanation:
## Step1: Recall Pascal's triangle properties
In Pascal's triangle, for a row with prime - numbered row index $p$ (other than the two 1s at the ends), the binomial coefficients $\binom{p}{k}$ for $1 < k<p$ can be expressed as $\binom{p}{k}=\frac{p!}{k!(p - k)!}=\frac{p\times(p - 1)\times\cdots\times(p - k+1)}{k!}$. Since $p$ is prime and $1 < k<p$, $p$ is a factor in the numerator and not in the denominator (because $k<p$ and $p - k<p$), so $\binom{p}{k}$ is a multiple of $p$.
# Answer:
A. All are multiples of the row number.

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Explanation:

Step1: Recall Pascal's triangle properties

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