Find the total number of positive integral solutions for `(x ,y ,z)` such that `x y z=24.` Also find out the total number of integral solutions.
Find the total number of positive integral solutions for `(x ,y ,z)` such that `x y z=24.` Also find out the total number of integral solutions.
5 views
1 Answers
`becausexyz=24=2^(3)xx3^(1)`
Hence,, total number of positive integral solutions
`=(.^(3+3-1)C_(3-1))(.^(1+3-1)C_(3-1))`
`=.^(5)C_(2)xx.^(3)C_(2)=30`
5 views
Answered