Normal Aliens in the Meeting on the Earth
Read given data first!
Let's simplify the process with Venn diagram like below.
1. We know, 3 had all three unusual features.
2. 12 had two heads and three eyes, 9 had three eyes and four arms, 8 had two heads and four arms. Here, 3 having all unusual features too need to be counted in each of Aliens' counts above.
So, Aliens having 2 unusual features of 2 heads & 3 eyes = 12 - 3 = 9.
Aliens having 2 unusual features of 3 eyes & 4 arms = 9 - 3 = 6.
Aliens having 2 unusual features of 2 heads & 4 arms = 8 - 3 = 5.
3. We know, 73 had two heads, 28 had three eyes, 21 had four arms.
Therefore, the number of Aliens having only 2 heads as an only unusual feature is 73 - (9 + 3 + 5) = 56.
The number of Aliens having 3 eyes as an only unusual feature is
28 - (9 + 3 + 6) = 10.
The number of Aliens having 4 arms as an only unusual feature is
21 - (5 + 3 + 6) = 7.
4. So, we have 56 + 9 + 10 + 3 + 5 + 6 + 7 = 96 Aliens having at least one unusual feature.
Therefore, the number of Aliens not having any of unusual features is
100 - 96 = 4.
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