In a group of 84 persons each plays at least one game out of three viz tennis, badminton and cricket - Maths - Sets

Question

In a group of 84 persons each plays at least one game out of three
viz tennis, badminton and cricket 28 of them play C, 40 plays T and
48 play B If 6 play both C and B and 4 play T and B and no one
plays all the three games Find the no: of persons who play cricket
but not tennis using venn diagram​

Aarushi Mishra · Accepted Answer

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"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5af6d33f53088%20png"
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Let the number of people who play C and T be xSum of number of elements in all coloured regions must be equal to 8422-x+6+38+4+36-x+x=84106-x=84x=106-84x=22