A survey of 1700 commuters in New York City showed that 1140 take the subway, 67

Question

A survey of 1700 commuters in New York City showed that 1140 take the subway, 670 take the bus, and 190 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway? commuters (b) How many commuters take only the subway? commuters Let U = {English, French, History, Math, Physics, Chemistry Psychology, Drama}, A = {Chemistry, Drama, Psychology, Physics}, B = {Math, French, English, Psychology, Physics}, and C = {History, Drama, English}. Find the following. n(A Union B Union C) Given that set A has 48 elements and set B has 23 elements, determine each of the following. (a) The maximum possible number of elements in A Union B elements (b) The minimum possible number of elements in A Union B elements (c) The maximum possible number of elements in A Intersection B elements (d) The minimum possible number of elements in A Intersection B elements

Explanation / Answer

Dear Student Thank you for using Chegg !! Given No of Commuters = 1700 Cmmuters taking subway '= 1140 Commuters taking bus = 670 Neither bus nor subway = 190 Commuters with either subways or bus = 1700- 190 = 1510 Let number of commuters taing both bus and subway be x From above details => 1510 = 1140 + 670 - x x = 300 Solution b) Commuterrs taking only subway Commuters taking subway - Commuters taking both bus and subway 1140 - 300 840 Solution

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