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Answer: 60 different numbers can be formed
Step-by-step explanation:
Note that we have 5 different digits, and we must select 3 of them. They should not be repeated
The order of selection is important in this case, because the number 532 is not the same as the number 235.
So we have a permutations problem, where we have a set of n elements and we want to choose r from them.
Then we define the permutacion as:
In this case note that n=5 because there are 5 elements in the set.
r = 3 because we combine the elements to form three-digit numbers
Then:
after 8 hours there are 995 bacteria cells left
let y be the amount after 8 hours
the multiplying factor is 100 - 5 = 95 % = 0.95
y = 1500 × = 995