Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Total number of integral solution of (a, b, c) such that abc = 105 is
A
6
B
C
Equivalent to total number of integral solution of abc = 210
D
Equivalent to total number of integral solution of abc = 420
Text Solution
Verified by ExpertsThe correct answer is:
C
abc = 105 = 3 x 5 x 7
∴ ∴ Required ways = 3 ! = 6 = 
if abc = 210 = 2 x 3 x 7 x 5
We can choose different triplets in 
ways each triplet can be permutated in 3! Ways.
Thus number of integral solution of abc = 210 is 
.
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