The expression (a+b+c)10 is expanded and simplified. How many terms are in the resulting
expression?	Choose the most appropriate option:  A) 30  B) 44  C) 55  D) 66  E) 133
(a+b+c)10 = [(a+b)+c]10. Let x = a+b. We see that (x+c)10 = x10+10x9c+   + c10 has 11 distinct terms. Also, the ith term of this expansion has 11 - i distinct terms   (since x10-i = (a + b)10-i has 11 - i distinct terms). Hence there are 11 + 10 +...+ 1 = 66   terms in this expansion.   correct answer 66
<result>D</result>
The expression (a+b+c)10 is expanded and simplified. How many terms are in the resulting
expression?