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  • What is the total number of terms in <img alt="\left ( a+b+c \right )^{10}?" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%20%28%20a&plus;b&plus;c%20%5Cright%20%29%5E%7B1

What is the total number of terms in \left ( a+b+c \right )^{10}?

Option: 1

10


Option: 2

11


Option: 3

60


Option: 4

66


Answers (1)

Number of terms in (a1+a2+.....+ar)n is n+r-1Cr-1

So, the number of terms in given expression with n = 10 and r = 3 is 

 ^{10+2}C_{2}= ^{12}C_{2}=66

Posted by

Kshitij

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