Calculating combinations of animals
Started by
izyat
· started 2019-09-23 00:35
· last activity 2019-10-15 17:36
· 1 reply
How are we able to calculate the different number combination of each type of animal as shown in the explanation (3-2-1), etc?
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Irina
· 2019-10-15 17:36
@izyat,
We are told that a researcher must select 6 animals from among 3 monkeys (F G H), 3 pandas (K L N ), and 3 raccoons (T V Z).
The rules tell us that F& H are not both selected, hence we can conclude that at most the researcher could select 2 monkeys.
The rules also tell us that N &T are not both selected, so the researcher could not pick 3 pandas and 3 raccoons, meaning he has to pick at least 1 monkey.
We can infer two possible scenarios from these rules:
(1) One monkey is selected:
1M -2P -3R
1M -3P-2R
(2) 2 monkeys are selected (FG)
2M - 3P -1R
2M- 2P- 2R
2M -1P -3R
2 monkeys selected (GH):
In this scenario, the rules tell us that K& N must be selected as well, so we must have at least 2P:
2M-2P-2R
2M-3P-1R
Let me know if this makes sense and if you have any further questions.
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