. An engineer is scheduled to visit four manufacturing plants in CSU Piat, Cauayan, Ilagan, and Universal Robina Piat. a. How many different sequences or orders of visiting these four plants are possible? b. In how many different orders can the 4 plants be visited if plants located in Piat can be considered identical?

. An engineer is scheduled to visit four manufacturing plants in CSU Piat, Cauayan, Ilagan, and Universal Robina Piat. a. How many different sequences or orders of visiting these four plants are possible? b. In how many different orders can the 4 plants be visited if plants located in Piat can be considered identical?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are eight choices for the first wire, seven for the second wire, six for the third wire, etc.)
1. There are 6 periods in each class day in a school. How many ways can one organize 5 subjects such that each subject is allowed at least one period? * 1 800 3 200 3 600 7 200 2. Find the sum of all the 4-digit numbers that can be formed with the digits 3, 4, 5 and 6. * 119, 889 119, 988 191, 889 191, 988 3. In a Filipino famous Patintero championship game, there are 21 matches. If each team plays one match with every other team, how many teams are there? * 5 6 7 8
4. Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits (between 0 and 9) followed by 3 letters (between A and Z). digit1 digit2 digit3 letter1 letter2 letter3 How many different ordered sequences of 3 digits can be arranged out of the number digits? b. How many different ordered sequences of 3 letters can be arranged out of the letter digits? n To 2J01 91omi 0 If a license number is selected randomly, what is the probability that yours is the one selected?P91 ari aveidasO Bmatisheiem diw 29rbied a. C. e0101enIoiobs 291upe1jol 6 jeni inevo erit stonsb Hints: How many different designs of license plates are possible out of the 0-9 digit and A-Z letter selections? What counting technique/s will you use? Note that you will only choose one design for your own license plate.
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8. License plates in a certain state follow the format: four letters, followed by three digits. In addition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how many different license plates are possible?
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2. A certain brand of shoes comes in 2 different styles, with each style available in 10 distinct colors. If the store wishes to display pairs of the shoes showing all of its various styles and colors, how many different pairs will the store have on display? They will have different pairs of shoes on display. (Type a whole number.)
13) Each student in a class of 12 students is invited to attend an after school online homework helpsession. How many possible groups could attend the session?
22. Suppose you have a 500-piece jigsaw puzzle showing the Ànec of Catalonia. To put it together, you must fit the pieces together. At any point, you either fit a new piece onto an existing chunk of puzzle or you fit two chunks together along a puzzle seam. Prove that no mat- ter what order the pieces are placed in,there are exactly 499 piece/chunk fit- tings to solve the puzzle.
13. How many length-6 lists can be made from the symbols {A, B, C, D, E, F, G), if repetition is allowed and the list is in alphabetical order? (Examples: BBCEGG, but not BBBAGG.)