Home
Class 12
MATHS
xyz=24 , x,y,z in N. Then find the numbe...

`xyz=24 , x,y,z in N.` Then find the number of order pairs (x,y,z)

A

24

B

30

C

36

D

38

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Let xyz=105 where x,y,z in N. Then number of ordered triplets (x,y,z) satisfying the given equation is

If x+y+z=10 , where x,y,z in N . Find the number of solutions of triplet (x, y, z) such that no ttwo variables are equal.

Knowledge Check

  • If x,y,z are three natural numbers in A.P. such that x+y+z=30 , then the possible number of ordered triplet (x, y, z) is :

    A
    18
    B
    19
    C
    20
    D
    21
  • Let X={1,2,3,4,5). The number of different ordered pairs (Y,Z) that can formed such that Y sube X,Z sube X and Y nn Z is empty is

    A
    `5^2`
    B
    `3^5`
    C
    `2^5`
    D
    `5^3`
  • If xyz = 1 and x, y, z gt 0 then the minimum value of the expression (x+2y)(y+2z)(z+2x) is

    A
    `81`
    B
    `9`
    C
    `18`
    D
    `27`
  • Similar Questions

    Explore conceptually related problems

    If x,y,z,t are odd natural numbers such that x+y+z+w=20 then find the number of values of ordered quadruplet (x,y,z,t)

    If Z=x^(2)-7x-9yi such that bar(Z)=y^(2)i+20i-12 then the number of order pair (x,y) is :

    If x+y+z = 400 and x:y:z = 1:1:2. Then find the value of z ? यदि x+y+z = 400 तथा x:y:z = 1:1:2 है, तो z का मान ज्ञात करें ।

    If x, y, z are natural numbers such that LCM(x, y) =2744, LCM(y, z) = 1372 and LCM(z, x) = 2744, then the number of triplets of (x, y, z) is 'n' where sum of the digits of n is

    If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z