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Question

out of 100 person in a group 72% speak English and 43% speak French each one out of hundred percent speak at least one language then how many speak only English how many speak only friends how many of them speak English and French both

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Solution

Let A be the set of people who can speak English.Let B be the setof people who can speak French.Now, nA = 72; nB = 43; nAB = 100Now, nAB = nA + nB - nAB100 = 72 + 43 - nAB nAB = 72 + 43 - 100 = 15So, number of people who cn speak both English and French = 15Number of people who can speak English only = nA-B=nA - nAB=72 - 15=57Number of people who can speak French only = nB-A=nB - nAB=43 - 15=28

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