Time remaining:
What is the coefficient of x2y2z in the expansion of (x+y+z)5?

label Mathematics
account_circle Unassigned
schedule 0 Hours
account_balance_wallet $5

What is the coefficient of x2y2z in the expansion of (x+y+z)5?  (Hint: count the number of different-looking arrangements of the factors.)

Apr 12th, 2015

The formula to find the coefficient of x1^r1 , x2^r2xk^rk in (x1+x2+⋯+xk)^n is:

n! / (r1! * r2!*…rk!)

Thus coefficient of x2y2z in (x+y+z)^5 is

5! / (2! * 2!* 1!) = 30 (ANSWER)


Apr 12th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Apr 12th, 2015
...
Apr 12th, 2015
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer