Question

the sum of the numbers in the third row of pascals triangle is:
a. 10
b. 6
c. 8
d. 4

Explanation:

Step1: Recall Pascal's Triangle Rows

Pascal's Triangle rows are numbered starting from row 0. Row 0: \(1\); Row 1: \(1, 1\); Row 2: \(1, 2, 1\); Row 3: \(1, 3, 3, 1\)? Wait, no—wait, the question says "third row". Wait, maybe the numbering: sometimes row 1 is \(1,1\). Wait, let's clarify: if we consider row 1 as \(1,1\) (sum 2), row 2 as \(1,2,1\) (sum 4), row 3 as \(1,3,3,1\) (sum 8). Wait, no, the question is "third row". Wait, maybe the user considers row 1 as first row: row 1: \(1\), row 2: \(1,1\), row 3: \(1,2,1\). Then sum of row 3 (third row) is \(1 + 2 + 1 = 4\). So that's where the answer 4 comes from.

Step2: Calculate Sum of Third Row

If third row is \(1, 2, 1\) (assuming row numbering starts at 1 for the first non - single - 1 row), then sum is \(1+2 + 1=4\). So the sum of the numbers in the third row (as per this numbering) is 4.

Answer:

d. 4