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The number of homogenous products of deg...

The number of homogenous products of degree `3` from `4` variables is equal to

A

`20`

B

`16`

C

`12`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` Let four variable are `x,y,z,w`
We have `x^(a)y^(b)z^(c )w^(d)` such that `a+b+c+d=3`
`:.` no. of non negative integral solutions `=^(4+3-1)C_(4-1)=20`
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