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Posted by on Monday, December 24, 2012 at 9:54pm.

A school has 63 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 study Biology and Chemistry while 8 study both Physics and Biology. Equal numbers study all three subjects as those who learn none of the three. How many study all three subjects?

Can someone show me the calculation. The ans is 3.

  • math - , Monday, December 24, 2012 at 10:31pm

    Venn diagram problem
    P only=33-18-x
    B only =26-17-x
    C only =25-19-x
    15-x+9-x+6-x+8+10+9+x=63
    -2x=63
    X=-3
    Which means you have to work with 3 in the middle

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