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25 July, 03:23

In a survey of 24 college students, it was found that 15 were taking an English class, 13 were taking a mathclass, and 8 were taking both English and math. How many students were taking a math class only? Howmany students were taking an English class only? How many students were taking nei

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  1. 25 July, 05:41
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    Step-by-step explanation:

    Given that total students = 23.

    15 have taken English, 13 Math and 8 both

    number of students taking math only = total math - students who have taken both

    = 13-8 = 5

    Number of students taking English only = total English - students who have taken both

    = 15-8 = 7

    Now we divided into 3 disjoint partitions as only Math, only English and both.

    Thus no of students who have taken either math or english = 7+5+3 = 15

    No of students who have taken neither = 24-15 = 9
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