A large software development company employs 100 computer programmers. Of them, 45 areproficient in Java, 30 in C, 20 in Python, 6 in C and Java, 1 in Java and Python, 5 in C andPython, and just 1 programmer is proficient in all three languages above. Determine the numberof computer programmers that are not proficient in any of these three languages.

Respuesta :

Answer:

18, 13, 19

Explanation:

Number of computer programmers proficient only in Java = 45 - ( 1+1+6) = 37

Number of computer programmers proficient only in C++ = 30 - (6+1+5) = 18

Number of computer programmers proficient only in python = 20 - ( 1+1+5) = 13

Number of computer programmers are not proficient in any of these three languages = 100 - ( 37 + 18 + 13 + 1+ 1+ 5+ 6 ) = 100 - 81 = 19

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Uisng the concept of a Venn diagram, the number of programmers who aren't proficient in any of the three languages are 16

C and Java only = 6 - 1 = 5

Java and Python only = 1 - 1 = 0

C and Python only = 5 - 1 = 4

Python only = 20 - 5 = 15

C only = 30 - 10 = 20

Java only = 45 - 6 = 39

Let the number of programmers who aren't proficient in any language = x :

(39 + 15 + 20 + 4 + 5 + 1 + x) = 100

84 + x = 100

x = 100 - 84

x = 16

Therefore, 16 programmers aren't proficient in any of the three languages.

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