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If the number of students who got grade A in the first examination is equal to that of in the second examination. If the total number of students who got grade A in exactly one examination is 40 and 4 students did not get grade A in either examination, determine the number of students who got grade A in the first exam?
20
26
30
27
Let assume that
E1 denotes a set of students who get grade A in the first exam
E2 denotes a set of students who got grade A in the second exam
|E1|=|E2| =x and |E1 ?E2|=y
|E1 ?E2|=50-4=46
46=|E1|+|E2|-|E1 ?E2|
=x+x-y
46=2x-y ….equation 1
|E1|+|E|-2|E1?E2|=40
x+x-2y=40 …...equation2
solving 1 and 2
y=6
x=26
By: bhavesh kumar singh ProfileResourcesReport error
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