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EachpersoninanITdepartmentof25peopleworksonatleastoneof3majorprojects:systemsecurity,...
Each person in an IT department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. How many people work on system security and program m implementation?
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Only work on system security and platform development: 4-2=2
Only work on program implementation and platform development: 5-2=3
Suppose there are x people only work on system security and program implementation, then there are x+2 people work on system security and program implementation.
Now we calculate the people who only work on one project.
only work on system security: 10-2-2-x=6-x
only work on program implementation: 13-2-3-x=8-x
only work on system security: 12-2-2-3=5
Notice that the amount of the people is 25, so
5+2+2+3+x+8-x+6-x=25
x=1
Hence, there are 1+2=3 people work on system security and program implementation.
Only work on program implementation and platform development: 5-2=3
Suppose there are x people only work on system security and program implementation, then there are x+2 people work on system security and program implementation.
Now we calculate the people who only work on one project.
only work on system security: 10-2-2-x=6-x
only work on program implementation: 13-2-3-x=8-x
only work on system security: 12-2-2-3=5
Notice that the amount of the people is 25, so
5+2+2+3+x+8-x+6-x=25
x=1
Hence, there are 1+2=3 people work on system security and program implementation.
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