The number of terms in the expansion of a-b-cn will beA- n-1B- n-1n-2-2C- None of theseD- n-3

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Standard XII

Mathematics

Greatest Binomial Coefficients

The number of...

Question

The number of terms in the expansion of $(a + b + c)^{n}$ will be

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None of these

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Solution

The correct option is C

By converse rule, put n= 1, 2, then number of terms are 3, 6.

Hence number of terms of $(a + b + c)^{n}$

= $\frac{(n + 1) (n + 2)}{2}$ .

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The number of terms in the expansion of (a+b+c)n will be

The correct option is C By converse rule, put n= 1, 2, then number of terms are 3, 6. Hence number of terms of (a+b+c)n = (n+1)(n+2)2.

The number of terms in the expansion of $(a + b + c)^{n}$ will be

The correct option is C

By converse rule, put n= 1, 2, then number of terms are 3, 6.

Hence number of terms of $(a + b + c)^{n}$

= $\frac{(n + 1) (n + 2)}{2}$ .