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VENN DIAGRAMS MAXIMUM MINIMUM?

Among 80 people attending a seminar consisting of a morning and and an evening sessions, 61 participated in the morning session and 43 in the afternoon session. Find:

(A) the greatest possible number of people who participated in one session only [I've got 43 buts the answer is 56]

(B) the least possible number of people who participated in one session only. [I've got 0 but answer is 18]

It is very confusing. Please if you can tell me also how the venn diagram would look like, i will be very grateful to you.

Please help me.

Thanks

1 Answer

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  • ?
    Lv 6
    4 years ago

    So 61 people showed up for the morning session. Then in the afternoon session people start attending. Each person in the afternoon could have been a new person, or somebody who attended in the morning. You know that there are 19 new people in the afternoon, to make the 80 total. So 24 of the afternoon people, attended both sessions.

    61 - 24 = 37. That is the people who attended the morning session only. Add the 19 people who only attended the afternoon is 56.

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