Give a contrapositive proof: For every 2D table of blue and gray pebbles, if the total number of gray pebbles is at most the number of columns, then at least half of the columns are almost-blue. (Note: almost-blue is to mean the column has at most one gray pebble.)

Q: et A = {m, 4, 2, 13}, B = {1, 2, 4, 13, -2} and C = {1,3,5,7,9} Find AUB. Find ANC. Find (AUC)NB.

A: From the given data we should find  A∪B,A∩C   and (A∪C)∩B1) AUB Means all the elements written…

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A:

Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

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Q: ncess Peach. Which exp

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Q: If A={3,4,5}   B={a,b,c}. Find B X A.

A: Explanation of the solution is given below...

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored…

A: Given:A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is…

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Q: able

A: Other expert has solved part b. Here We include part a answer.

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Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least…

A: Note that the number of ways to select r objects from a group of n Objects is nCr. The total number…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

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Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

A:

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: what is the name of each of them?

A: We will compare with general equation to find type ( name ) of surface represented by given equation…

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored…

A:

Q: a. Find Cx D b. Find D x C c. Verify Card (C x D) = Card (D x C) d. Find C-D and D - C and verify…

A:

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 65, find n(A ∩ B).

A: n(AUB) =n(A) +n(B) -n(A intersection B)