Question

Which row of pascal's triangle has elements whose difference between highest and lowest element is 19?

• A. Fourth row
• B. Fifth row
• C. Sixth row
• D. Seventh row

Answer 1

The correct option is D Seventh row

Elements of the fourth row = 1, 3, 3, 1
Difference between highest and lowest elements = 3 - 1 = 2

Elements of the fifth row = 1, 4, 6, 4, 1
Difference between highest and lowest elements = 6 - 1 = 5

Elements of the fourth row = 1, 5, 10, 10, 5, 1
Difference between highest and lowest elements = 10 - 1 = 9

Elements of the fourth row = 1, 6, 15, 20, 15, 6, 1
Difference between highest and lowest elements = 20 - 1 = 19