Q2. How many numbers, at a minimum, should we choose at random from S = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20) in order to guarantee that the difference of two of the chosen numbers is divisible by 4? A. 2 B. 3 C. 4 D. 5 E. 6 F. None of the above

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A: We know that number of subset of a set containing n elements is 2n. Also, nCr = n!r!n-r!

Q: For how many n ∈ {1, 2, 3, …, 1000} is n a multiple of one or more of 5, 6, or 7?

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Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. If n(A-B)-18, n(A U B)-70 and n(A N B)- 25, then find n(B). a. 50 b. 48 c. 52 d. 60

A: This question is related to set theory.

Q: How many people must be chosen to be certain that at least two of them will have a. A birthday on…

A: To solve the problem, we use Pigeonhole principle.Pigeonhole principle: If there are more pigeons…

Q: Suppose that five microchips in a production run of fifty are defective. A sample of seven is to be…

A: The provided information is as follows:The total production run is 50.The number of defective…

Q: 2.    If SSbetween = 30, SSwithin = 40, dfbetween = 3, and dfwithin = 20, then F = ______.

A: Calculation:From the question you have posted, it can be assumed that the values relate to an…

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Q: The temperature on Monday in Minot, North Dakota was 3°F. On Tuesday, the temperature was -2°F. How…

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Q: o Digits = {0, 1, 2, ...,9} o Letters = {A, B, C,..., X, Y, Z} %3D o How many valid passwords are…

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