Three subjects

In a class of 40 students, 18 passed mathematics, 19 passed accounts, 16 passed economics, 5 mathematics and accounts only, 6 mathematics only, 9 accounts only, 2 accounts and economics only, if each student offered at least one of the subjects.

a) how many students failed in all the subjects? .
b) find the percentage number who failed in at least one of economics and mathematics.
c) calculate the probability that a student selected at random failed in accounts

Correct answer:

a =  4
b =  32.5 %
c =  52.5 %

Step-by-step explanation:

n=40 M=17 MO=6 A=19 AO=9 E=16 MA=5 EA=2 MAE=AAOMAEA=19952=3 ME=MMOMAMAE=17653=3 EO=EMEMAEEA=16332=8  OK=MO+EO+AO+MAE+MA+EA+ME=6+8+9+3+5+2+3=36  a=nOK=4036=4

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