What is the solution to this mathematics competition question?

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In summary, the conversation is about a student who is preparing for a mathematics competition and needs help with a sample question. The question involves determining the number of students who attend a co-ed school, play sport on the weekend, and play a musical instrument. The conversation also includes a link to the Wikipedia page about the inclusion-exclusion principle, which may be helpful in solving the question.
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I have a mathematics competition next month. I was doing these last year sample questions and got stuck at this one. Can anyone please help me out? Much appreciated.

This is the question -

Six hundred and sixty six students sit for a prestigious mathematics contest. It is known that all of the students who sit the exam attend an all girls school and/or play sport on the weekend, and/or play a musical instrument. One hundred and eleven of the students attend an all girls school and two hundred and twenty two attend an all boys school. Four hundred and forty four of the students play musical instruments and five hundred and fifty five of the students play sport on the weekend. Seventy seven of the students attend an all girls school and play sport on the weekend. Eighty eight of the students attend an all girls school and play a musical instrument. Three hundred and thirty three of the students play a musical instrument and play sport on the weekend. Of the students who attend an all boys school thirty three do not both play sport on the weekend and play a musical instrument. How many of the students attend a co-ed school, play sport on the weekend and play a musical instrument?
 
Mathematics news on Phys.org

1. What is a Mathematics Competition?

A Mathematics Competition is a competitive event where individuals or teams compete against each other by solving complex mathematical problems within a set time limit. It aims to promote critical thinking, problem-solving skills, and mathematical knowledge.

2. Who can participate in Mathematics Competitions?

Anyone with a passion for mathematics and problem-solving can participate in Mathematics Competitions. These competitions are typically open to students of all ages, from elementary school to college level.

3. How can I prepare for a Mathematics Competition?

To prepare for a Mathematics Competition, you can practice solving mathematical problems from previous competitions, attend study sessions or workshops, and work on improving your problem-solving skills. It is also essential to have a strong understanding of mathematical concepts.

4. Are there different types of Mathematics Competitions?

Yes, there are various types of Mathematics Competitions, such as individual or team-based, local or international, and online or in-person. Some competitions focus on specific branches of mathematics, while others cover a broader range of topics.

5. What are the benefits of participating in Mathematics Competitions?

Participating in Mathematics Competitions can improve critical thinking, problem-solving, and time management skills. It also allows individuals to showcase their mathematical knowledge and potentially win prizes or recognition. Furthermore, it can open up opportunities for scholarships or future careers in mathematics-related fields.

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