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Seem like these are more statistical

a. How many permutations of the seven letters A,B,C,D,E,F,G are there? b. You have a pile of 20 identical blank cards. On each card you draw a circle, a plus, or a square. How many piles of 20 cards are possible? c. Find the next four largest 4-combinations of the set {1,2,3,4,5,6,7,8} after {1,2,3,5}. d. What is the probability that a card chosen from an ordinary deck of 52 cards is an ace?

Subject:

Math

Topic:

Discrete Structures

Posting ID:

23681

OTA ID:

104480

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Prove the follwoing

Show that every positive integer can be written as the product of two numbers. One is the power of 2 and one is odd.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

24062

OTA ID:

103300

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Integers

suppose that integers 1,2,3,4,5,6,7,8,9,10 are arranged randomly along a circle. 1) show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17 2) take n + 1 integers from {1,2,3,....., 2n}. Show there exist two integers, one divides the other completely.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

24063

OTA ID:

101298

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Divisibility

Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.

Subject:

Math

Topic:

Discrete Structures

Posting ID:

24069

OTA ID:

103300

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Fibonacci sequence

Please look at the attached file

Subject:

Math

Topic:

Discrete Structures

Posting ID:

24142

OTA ID:

101298

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