TOPIC: DISTINGUISHABLE PERMUTATION 1. Analyze and solve the following problems.  a. A student has 2 blue beads, 3 red beads, 1 green bead, and 1 yellow bead. How many different arrangements can be made with the 7 beads if they may be arranged in any linear arrrangement? b. In how many ways can 4 Math books, 3 science books, 2 Filipino books, and 1 English book be arranged on a shelf? c. In how many ways can 3 rhinestones, 5 crystals, 2 preciuos metal be arranged into a bracelet?

Q: In Drumheller, Alberta, the town host an annual parade on July 1st to celebrate Canada Day. The…

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Q: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: You have 200 different-looking tiles. (Each is a different solid color. You only have one tile of…

A: Each tray will have 5 different tiles. First tray will have 5 different tiles out of 200 choices of…

Q: John is putting ceramic tile on the wall of the school store and he chooses three colours of tile:…

A: John has purchased 20 tiles in total, five green, 10 gold, and five white.

Q: 3. In how many ways can 5 teachers and 6 principals be arranged in a row if no two people of the…

A: It is given that there are 5 teachers and 6 principals. The arrangement should contain no two people…

Q: Answer each question. 1. How many ways are there to select 7 people from 14 people? 2. How many ways…

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

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

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

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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Q: Use permutations to solve. The student activity club at the college has 39 members. In how many…

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Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

Q: Vic has three chicken houses with an average of 23,800 broilers per house. He has broilers in a…

A: He has broilers in a house for 7 weeks and then the house is empty for 2 weeks and he has his…

Q: 3. What is the number of ordered arrangements of8 red and 4 green blocks? 495 967680 479001600 1680…

A: According to the given information, we have Number of red blocks = 8 Number of green blocks = 4…

Q: 1. A local restaurant serves tacos for $1 every Tuesday. For each taco, you must choose one filling,…

A: For each taco we must choose one filling one salsa and one tortilla. From the question we can see…

Q: d. [Permutation] Solve the following problems - Find the number of words that can be formed by using…

A: Explanation of the answer is as follows