KVPY2012MathematicsPermutation and Combination
How many ordered pairs of ( m , n ) integers satisfy m 12 = 12 n ?
Options
- A30
- B15
- C12
- D10
Correct answer
A. 30
Step-by-step solution
array l m 12 = 12 n mn =144 n = 144 3 array We want to find here total number of divisors of 144 144=2⁴ 3² Total divisors are (4+1)(2+1)=15 But negative pairs are also possible hence =30