- #1
Petrus
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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.
![c3939de84ef91f8e6d3d9088938ee01.png](https://webwork.math.su.se/webwork2_files/tmp/equations/26/c3939de84ef91f8e6d3d9088938ee01.png)
![ea477786ed42b36a173e5f8918b58a1.png](https://webwork.math.su.se/webwork2_files/tmp/equations/d1/ea477786ed42b36a173e5f8918b58a1.png)
(b)
![0a0762b1e265e781e6409e400e5f951.png](https://webwork.math.su.se/webwork2_files/tmp/equations/67/0a0762b1e265e781e6409e400e5f951.png)
(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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