Question

The coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are

Answer 1

1, 5, 10, 10, 5, 1

Explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

5!/(k!(5-k)!)