a school has 63 students studying A,B and C. 33 study A, 25 study B, 26 study C. 10 study A and B, 9 study B and C while 8 study both A and C. Equal num study all three subjects as those who learn none of the three. How many study all 3 subjects? #help me solve this question#

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a school has 63 students studying A,B and C. 33 study A, 25 study B, 26 study C. 10 study A and B, 9 study B and C while 8 study both A and C. Equal num study all three subjects as those who learn none of the three. How many study all 3 subjects? #help me solve this question#

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1356287630536:dw| a+b+d+e = 33 b+e+f+c = 25 d+e+f+g = 26 b+e = 10 f+e = 9 d+e = 8 e = 63 - (a+b+c+d) Solve for e..
where do you get e=63-(a+b+c+d)?
It is given that - Equal num study all three subjects as those who learn none of the three. The people who do not study any of them are given by U - (A U B) Here, U = 63 .. And, A U B is given be (a+b+c+d+e) and, I considered the people who study all the three as 'e' And, Sorry, I did a mistake .. I would be -> e = 63 - (a+b+c+d+e)

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Other answers:

why u no include f in e=63-(a+b+c+d+e)? can u explain me? i still not understand....
those who learn none of the three subject ----> 63-(a+b+c+d+e+f+g)
right ?
e= 63-(a+b+c+d+e+f+g)
i don't know but the answer is 3..
pellet! :P I'm extremely sorry again! :P yeah, you are absolutely correct! - it ought to be 63 - (a+b+c+d+e+f+g)
those who learn none of the three subject = total students - students learning atleast 1 subject, got this ?
those who learn none of the three subject = U - (A U B U C) = 63-(a+b+c+d+e+f+g)
so now did u get how e=63-(a+b+c+d+e+f+g) @sha0403 ?
ook thank u so much u all for helping me...now i get it... ;)
good :) welcome ^_^

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