In a committee, 50 people speak French, 20 speak Spanish and 10 speak – InterviewSolution

InterviewSolution

1.

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak atleast one of these two languages?

Answer»

Let F = set of people speaking French

S = set of people speaking Spanish.

Then n(S) = 20, n(F) = 50 n(F∩S) = 10

∴ n(F∪S) = n(S) + n(F)-n(F∩S)

= 20 + 50-10 = 60

∴ 60 people speak French or Spanish or both.

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