Home
Class 12
MATHS
Find the number of ordered triples (a,b,...

Find the number of ordered triples (a,b,c) of positive integers such that abc= 108

Text Solution

Verified by Experts

The correct Answer is:
60
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-1 (Part-II RMO)|17 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

Similar Questions

Explore conceptually related problems

Find the number of ordered pairs of positive integers (a,b) such that a+b= 1000 and neither a nor b has a zero digit. Note that (2, 998) and (998,2) should be counted as two distinct solutions.

The number of ordered pairs (a,b) of positive integers such that (2a-1)/b and (2b-1)/a are both integers is

Compute the number of ordered quadruples of positive integers (a,b,c,d) such that a!b!c!d! = 24!

Determine the number of ordered pairs of positive integers (a , b) such that the atleast common multiple of a and b is 2^(3)5^(7)11^(13) .

For how many ordered triplets (a,b,c) of positive integers less than 10 is the product a xx b xx c divisible by 20?

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

The number of ordered pairs of positive integers (a, b), such that their Least Common Multiple is the given positive integer 7^(2)xx11^(3)xx19^(4) , is equal to

The number of ordered triples (a,b,c)1<=a,b,c<=9 such that ac=b^(2)-1 is

Find the number of solutions in ordered paris of positive integers (x,y) of the equation 1/x+1/y=1/n where n is positive integer.

Determine with proof all triples (a, b, c) of positive integers satisfying 1/a+2/b+3/c=1 where a is a prime number and a le b le c