contestada

2. Out
of
250
programmers,
75
can program
in Fotran, 47 can program.
in Basic and 60 can program in Ctt. There are 30 who can program in
both FORTran and Basic, 22 who can program in both Basic and Ctt, 7
who can program in both Ctt and Fotran and 5 whocan program in all
thoree languages. Find
(1) How many com program in at most One
them.
of
(11) How many can program in Fotran and exactly one of the other two
languages.

Respuesta :

itzamirv2

To solve this problem, let's break down the information given:

- Number of programmers who can program in Fortran (F): 75

- Number of programmers who can program in Basic (B): 47

- Number of programmers who can program in Ctt (C): 60

- Number of programmers who can program in both Fortran and Basic: 30

- Number of programmers who can program in both Basic and Ctt: 22

- Number of programmers who can program in both Ctt and Fortran: 7

- Number of programmers who can program in all three languages: 5

1. How many can program in at most one of them?

To find the number of programmers who can program in at most one of the languages, we need to subtract the number of programmers who can program in two or more languages from the total number of programmers.

Total programmers = 250

Number of programmers who can program in two or more languages:

30 + 22 + 7 - 3 × 5 = 54

So, the number of programmers who can program in at most one of the languages is:

250 - 54 = 196

2. How many can program in Fortran and exactly one of the other two languages?

To find the number of programmers who can program in Fortran and exactly one of the other two languages, we need to subtract the number of programmers who can program in Fortran and both of the other two languages from the total number of programmers who can program in Fortran.

Number of programmers who can program in Fortran and both of the other two languages: 5

Number of programmers who can program in Fortran and exactly one of the other two languages:

75 - 5 = 70

So, the number of programmers who can program in Fortran and exactly one of the other two languages is 70.

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