Each person, in an it department of 60 people, works on at least one of 3 major projects: system security, program implementation, platform development. 23 people work on system security, 28 work on program implementation, and 26 work on platform development. 7 people work on system security and platform development, 12 people work on program implementation and platform development, and 6 people work on all three projects. how many people work only on system security and program implementation (i. e., not all three projects)?
answer either: 4, 5 or 6

4

Step-by-step explanation:

Given: total persons in IT department=60,23 people work on system security, 28 work on program implementation, and 26 work on platform development. 7 people work on system security and platform development, 12 people work on program implementation and platform development, and 6 people work on all three projects.

To Find: number of people working only on system security and program implementation.

Solution:

let people in system security be=,

let people in  program implementation be=,  

let people in platform development be=,

persons working in and = ∩, ∩=

persons working in and = ∩, ∩=

persons working in and = ∩=

persons working in , and =∩∩, ∩∩=6

Now,

we know that

∪∪= ++-∩-∩-∩+∩∩

on putting values,

60=23+28+26-7-12-∩+6

∩=64-60

∩=4

hence, the number of persons working in system security and program implementation are=4

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

if i put something wrong your not gonna like it so rather not say nothing.