Question

the fifth row of pascal’s triangle is:
a. 1, 4, 6, 4, 1
b. 1, 2, 1
c. 1, 5, 10, 10, 5, 1
d. 1, 3, 3, 1

Explanation:

Step1: Recall Pascal's Triangle Rows

Pascal's Triangle rows start with row 0: Row 0: \(1\); Row 1: \(1, 1\); Row 2: \(1, 2, 1\); Row 3: \(1, 3, 3, 1\); Row 4: \(1, 4, 6, 4, 1\); Row 5: \(1, 5, 10, 10, 5, 1\).

Step2: Match with Options

The fifth row (row 5) is \(1, 5, 10, 10, 5, 1\), which matches option c.

Answer:

c. 1, 5, 10, 10, 5, 1