Question

The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y)^5 are _____.
A. 1, 5, 10, 10, 5, 1
B. 1, 5, 10, 5, 1
C. 0, 1, 5, 10, 5, 1, 0
D. 0, 5, 10, 10, 5, 0

Answer 1

this is binomial theorem do you know about it

Answer 2

kind of

Answer 3

I attempted it in that form but could not get it?

Answer 4

its A.. try to multiply the term 5 times..

Answer 5

k

Answer 6

but so then A?

Answer 7

Ah I got it you were right! Thank you so much!

Answer 8

ur welcome...

Answer 9

the coefficients come from combinations

5 choose 0
5 choose 1
...
5 choose 5

http://en.wikipedia.org/wiki/Combination