In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are adjacent but u and w are not adjacent.

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

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.

Q: Question 9.7) There are 3 Grey Shirts,5 Orange Shirts and 4 Blue Shirts in a suitcase.Gary selects 4…

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Q: If A={2,3,5,7}, B={2,4,6,8,10}, and C={1,2,3,4,5}, then what is (A∪C)∩(B∩C)?

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Q: Suppose we want to choose 5 objects, with replacement for 8 distinct objects.  If the order of these…

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Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: Let U = {0, 1,2, ...,9}, A = {1,4,7,8}, B = {1,3, 6, 7, 9}, and C = {1, 2, 3, 5, 7}. BUC= BUC= ANB =…

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Q: Assume that the candle manufacturer has 7 types of round candles and 5 types of square candles…

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

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Q: Let A = {small, medium, large}, B = {yellow, magenta}, and C = {triangle, square}. List the elements…

A: The elements in A is {small, medium, large}.

Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

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Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

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: U = {1, 2, 3, 4, 5, 6, 7, 8} A = {2, 4, 6} B = {1, 2, 5, 6} C = {2, 3, 4, 5, 8} Find the…

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Q: Q = {E, A, A², A³, B, BA, BA², BA³} X,

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Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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