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In the Mindworkzz club all the members participate either in the Tambola or the Fete. 320 participate in the Fete, 350 participate in the Tambola and 220 participate in both. How many members does the club have? 
  • a)
        410
  • b)
        550     
  • c)
        440
  • d)
        None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the Mindworkzz club all the members participate either in the Tambo...
The total number of peoples = 100 + 220+130 = 450
So, Option D is correct
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Most Upvoted Answer
In the Mindworkzz club all the members participate either in the Tambo...
Given:

The members of the Mindworkzz club participate either in the Tambola or the Fete.

320 participate in the Fete.

350 participate in the Tambola.

220 participate in both.

To Find: How many members does the club have?

Solution:

Let the number of members who participate in only the Fete be x.

Let the number of members who participate in only the Tambola be y.

Then, the total number of members in the club can be represented as:

Total members = x + y + 220 (members who participate in both)

We know that:

320 participate in the Fete.

350 participate in the Tambola.

220 participate in both.

Therefore, we can form the following equations:

x + 220 = 320 (members who participate in only the Fete plus members who participate in both)

y + 220 = 350 (members who participate in only the Tambola plus members who participate in both)

Solving the above equations, we get:

x = 100

y = 130

Therefore, the total number of members in the club can be calculated as:

Total members = x + y + 220

Total members = 100 + 130 + 220

Total members = 450

Hence, option D (Noneofthese) is the correct answer.

Note: It is important to note that the total number of members in the club is not equal to the sum of members participating in the Fete and Tambola, as some members participate in both. Therefore, we need to use the concept of sets and Venn diagrams to solve such problems.
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Community Answer
In the Mindworkzz club all the members participate either in the Tambo...
T=350
F=320
T intersection F=220
TuF=350+320-220=550
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In the Mindworkzz club all the members participate either in the Tambola or the Fete. 320 participate in the Fete, 350 participate in the Tambola and 220 participate in both. How many members does the club have?a) 410b) 550 c) 440d) NoneoftheseCorrect answer is option 'D'. Can you explain this answer?
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