A survey of students in a lecture revealed that a total of 25 people played the saxophone, 10 played the flute, and 15 played the drum Nobody played all three instruments, while 8 played only the saxophone and the flute, 2 played only the flute and the drum,  and 10 played only the drum, and the saxophone. i) Draw a Venn diagram to illustrate the findings above.  ii) Write a set expression to formalise the query “how many students only play the flute”. What is the answer to this query?  iii) If there were 35 students in the lecture, how many students played no instrument?

a) A survey of students in a lecture revealed that a total of 25 people played the saxophone, 10

played the flute, and 15 played the drum Nobody played all three instruments, while 8

played only the saxophone and the flute, 2 played only the flute and the drum,  and 10

played only the drum, and the saxophone.

i) Draw a Venn diagram to illustrate the findings above. 

ii) Write a set expression to formalise the query “how many students only play the

flute”. What is the answer to this query? 

iii) If there were 35 students in the lecture, how many students played no instrument?

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