Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the number of integral solutions (x, y, z) of the equation xyz = 18 is t, then the value of 
is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
9
18 = 1.1.18 = 1.2. 9 = 1.3. 6 = 2.3. 3
Each of (1,2, 9), (1,3, 6) can be permuted in 3! ways
Each of (1,1,18), (2,3, 3) can be permuted in 3 ways
So, there are 2 x 3! + 2 x 3 = 18 triplets (x, y, z)
Also, the signs are
(+,-,-),(-,+,-),(-,-,+),(+,+,+,)
So, the desired number is 18 x 4 = 72
Hence,
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