In a class of 100 computer science students, 60 know Python, 36 know Java, and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and 16 know both Java and C++. If 10 students know none of these languages, then how many students know all of these languages? Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn diagram as your only work.

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In a class of 100 computer science students, 60 know Python, 36 know Java,
and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and
16 know both Java and C++.
If 10 students know none of these languages, then how many students know all of these
languages?
Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn
diagram as your only work.
Transcribed Image Text:In a class of 100 computer science students, 60 know Python, 36 know Java, and 52 know C++. 18 know both Python and Java, 32 know both Python and C++, and 16 know both Java and C++. If 10 students know none of these languages, then how many students know all of these languages? Show your work, using the Principle of Inclusion-Exclusion. Do NOT show a Venn diagram as your only work.
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