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


Let F be the set of people who speak French,


and S be the set of people who speak Spanish.


Number of people who speak French = n(F) = 50


Number of people who speak Spanish = n(S) = 20


Number of people who can both speak French and Spanish


= n(F S)


= 10


Number of people who speak at least one of these two languages = n(F S)


We know that-


n(F S) = n(F) + n(S) - n(F S)


= 50+20 - 10


= 60


n(H E) = 60


Thus, 60 people can speak at least one of French or Spanish.


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