Question

There are 1189 students majoring in computer science at a particular university. They are surveyed about their knowledge of three programming languages: C++, Java, and Python. The survey results reflect that 856 students know C++, 792 know Java, and 692 know Python. Additionally, 639 students know both C++ and Java, 519 know both C++ and Python, and 632 know both Java and Python. There are 488 students who report knowing all three languages. How many students reported that they did not know any of the three programming languages?

Answer 1

To find the number of students who reported not knowing any of the three programming languages, subtract the number of students who know at least one language from the total number of students.

Step-by-step explanation:

To find the number of students who reported not knowing any of the three programming languages, we need to subtract the number of students who know at least one of the languages from the total number of students.

To calculate this, we can use the principle of inclusion-exclusion. We start by adding the number of students who know each language: C++ + Java + Python.

Then, we subtract the number of students who know two languages: (C++ and Java) + (C++ and Python) + (Java and Python).

Finally, we add back the number of students who know all three languages, which we previously subtracted twice: C++ and Java, and Python.

Let's calculate the number of students who did not know any of the three languages:

C++: 856

Java: 792

Python: 692

C++ and Java: 639

C++ and Python: 519

Java and Python: 632

All three: 488

Using the formula:

Total students - (C++ + Java + Python - (C++ and Java + C++ and Python + Java and Python) + All three)

1189 - (856 + 792 + 692 - (639 + 519 + 632) + 488) = 17

Therefore, 17 students reported not knowing any of the three programming languages.