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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Calculate the number of elements in A1 U A2 U A3 if there are 97 elements in A1, 997 elements in A2 and 10098 elements in A3 in each of the following situations:

(a) The amounts are pairwise disjoint, i.e.
, too
.

(b)
.

(c) there are 10 elements in common for each pair of volumes and 4 elements common to all three sets.

(a)I get answer 997+97+10098

(b)10098

(c) is the part I think I do wrong, will attach a picture of my venn diagram.

for some reason I get problem to attaché the picture but i get a1= 73, a2= 973, A3=10074 so the answer is (that is wrong I think) 73+10+10+10+4+10074+973

(a) The amounts are pairwise disjoint, i.e.

(b)

(c) there are 10 elements in common for each pair of volumes and 4 elements common to all three sets.

(a)I get answer 997+97+10098

(b)10098

(c) is the part I think I do wrong, will attach a picture of my venn diagram.

for some reason I get problem to attaché the picture but i get a1= 73, a2= 973, A3=10074 so the answer is (that is wrong I think) 73+10+10+10+4+10074+973

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