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Shalnov [3]
3 years ago
12

What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to gu

arantee that there are at least 100 who come from the same state?
Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

4951 students

Step-by-step explanation:

If there was 99 students from each state, that would make the total to be:

99 * 50 = 4950

We can use the pigeon hole principle to make this the minimum number required.

The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.

So, using this idea, we see that:

we need at least 1 more to ensure this

So, min number required would be

4950 + 1 = 4951

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A group of 15 people are going to run a race. The top 8 will advance to the finals. Determine if the situation is a permutation
LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

  • For the first position there are 15 options.
  • For the second position ther are 14 options (one runner already finished).
  • For the third position there are 13 options.
  • And so on.

Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

#SPJ1

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2 years ago
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Sid needs to put 88 ounces of com in 6 containers. Write 88/6 as a mixed numeral.​
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Step-by-step explanation:

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