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murzikaleks [220]
3 years ago
12

There are six professors teaching the introductory discrete mathematics class at someuniversity. The same final exam is given by

all five professors. The exam score is aninteger between 0 and 100 (inclusive, that is, both 0 and 100 are possible). How manystudents must there be to guarantee that there are two students with the same professorwho earned the same final examination score?
Mathematics
2 answers:
musickatia [10]3 years ago
5 0

Answer:

Step-by-step explanation:

zysi [14]3 years ago
5 0

Answer:

607 students to guarantee that there are two students with the same professorwho earned the same final examination score.

Step-by-step explanation:

This problem is an example of the Pigenhole principle.

The first step is finding the number of boxes and objects:

For each score, we have a box which contains the student who got that score.

If there were only one professor grading, there would need to be 101+1 = 102 students to ensure that that there are two students with the same professorwho earned the same final examination score.

However, for each student, there are a combination of six to five = 6 possible combinations for a score.

So there should be at least 6*101+1 = 607 students to guarantee that there are two students with the same professorwho earned the same final examination score.

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Answer:

3.0pages

Step-by-step explanation:

If Tiffany type a page in an hour, then;;

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2 years ago
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Check the picture below

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5 0
3 years ago
Read 2 more answers
8x-9x please help I need it bad
alexandr402 [8]

Answer:

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Step-by-step explanation:

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IgorC [24]

Answer:

  2(2 +5)

Step-by-step explanation:

We presume you want to rewrite the expression making use of the distributive property. For that, it is helpful to find a factor common to the two terms. The GCD of 4 and 10 is 2, so we can factor that out:

  4 + 10 = 2(2 +5)

_____

Of course, you can use any factor you like. It doesn't need to be an integer.

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3 years ago
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