Question

A computer company must hire 25 programmers to handle systems programming tasks and 40 programmers for applications programming. of those hired 15 will be expected to perform tasks of each type. how many programmers must be hired ?

Answer 1

let,
A=25
B=40
A∩B=15
now, we know the formula,
AUB= A+B-(A∩B)
applying
AUB= 25+40-15
      =50
hence, the computer company should hire 50 people for the job.

Answer 2

Answer:

50 programmers must be hired.

Step-by-step explanation:

Given:

• A computer company must hire 25 programmers to handle the task of systems programming.
• 40 programmers are needed for applications programming.
• And of those hired 15 will be expected to perform the tasks of each type.

Need To Find:

How many programmers must be hired.

Solution:

According to question,

Number of programmers to be hired to handle systems programming tasks= n(S)= 25

Number of programmers to be hired to handle applications programming= n(A) = 40

Number of programmers expected to do both tasks= n(S∩A) = 15

Now as we know,

n(A∪B) = n(A) + n(B) - n(A∩B)

Using above formula to find the number of programmers to be hired:-

=> n(S∪A) = n(S) + n(A) - n(S∩A)

=> n(S∪A) = 25 + 40 - 15

=> n(S∪A) = 50

Hence, 50 programmers must be hired.