Home
Class 12
MATHS
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`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|2 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise Matching Column Type|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

Similar Questions

Explore conceptually related problems

The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal (a) is linear (b) is homogeneous of second degree (c) has separable variables (d) is of second order

Find the product of the -3x, 4x

The sum of two angle is 152^(@) . If the number of degrees in one is equal to the number of grades in the other. Find the circular measure of the angles.

Prove that in a G.P. of finite number of terms the product of any terms equidistant from the beginning and the end is constant and is equal to the product of the first and last terms.

The sum of the deviations of the values of a variable from its ____ is zero.

The product of all the values of (1+isqrt3)^(3/4) is equal to

Find the product of the 3ab, 4ac.

A variable line moves in such a way that the product of the perpendiculars from (4, 0) and (0, 0) is equal to 9. The locus of the feet of the perpendicular from (0, 0) upon the variable line is a circle, the square of whose radius is

From the pairs of numbers given below, let's find if the product of two numbers is equal in product of their H.C.F and L.C.M. 7,21

The sum of the number of degrees and number of grades of a given angle is 152, find the angle in degree.