Question

The coefficients in the expansion of (x+y)^5 are

A. 0, 5, 10, 10, 5, 0
B. 0, 1, 5, 10, 5, 1, 0
C. 1, 5, 10, 10, 5, 1
D. 1, 5, 10, 5, 1

Answer 1

C. 1, 5, 10, 10, 5, 1

Step-by-step explanation

We can quickly generate the Pascal's triangle as shown in the attachment.

In general this triangle, the extreme values are always 1.

The inner entries are obtained by adding the two entries directly above them.

From the Pascal's triangle, the coefficients in the expansion of (x+y)^5 are 1, 5, 10, 10, 5, 1

The correct choice is C