a. . In how many ways can 5 friends must be seated in a round table?а. 24b. 12С. 48d. 5. In how many ways can 6 keys be arranged in a key ring?b.а. 120b. 60с. 720d. 36. What concept will you apply in the problem below?Find the number of ways in which 10 beads can be arranged to form a necklace.C.a. Permutationc. Circular Permutationd. Probabilityb. Combination

Answered: a. . In how many ways can 5 friends…

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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2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and 3. A. 4 B. 5 C. 6 D. 7
Q.2) a. State one difference and one similarity between permutation and combination. b. How many different five member committees could be formed from the 100 U.S senators? (Use combination formula) 1
At a music festival, there are seven bands scheduled to play, numbered 1 through 7. a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first and band 1 last, then how many ways can their appearances be scheduled? a. There are different ways to arrange the bands. (Simplify your answer.) b. If band 3 is performing first and band 1 last, there are different ways to arrange the bands. (Simplify your answer.) Enter your answer in each of the answer boxes.
a. A president, vice president, secretary and treasurer must be selected in a class of 20 students, how many ways can this be done? a. 101 342 ways b. 12 208 ways c.116 280 ways d. 1 440 ways How many b. а. 4 distinct permutations can be done in the word OPPA? b. 8 С. 12 d. 24 C. How many ways can the letters in the word LILLYPILLY be arranged? a. 7 560 b. 10 120 c. 360 360 d. 206
How many different 6-letter words can be made a. if the first letter must be E or W and no letter may be repeated? b. if repeats are allowed (but the first letter is E or W)? c. How many of the 6-letter words (starting with E or W) with no repeats end in H?
Answer the following questions in the picture. Only the letter of the correct answer.
1. A local restaurant serves tacos for $1 every Tuesday. For each taco, you must choose one filling, salsa, and tortilla. • Filling: Carne Asada, Pollo Asado, Al Pastor, Carnitas, Chorizo, Grilled Fish, Mushroom Salsa: Mild, Medium, Hot • Tortilla: Corn, Flour How many different kinds of tacos can be made?
. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long.1. How many choices are there if you may use a number multiple times and the order matters?2. How many choices are there if you may not use a number multiple times and the order matters?3. How many choices are there if you may not use a number multiple times and the order doesnot matter?4. How many choices are there if you may use a number multiple times and the order does notmatter?
2. Find out how many distinct three- digit numbers can be formed using all the digits of 1, 2, and 3. A. 4 B. 5 C. 6 D. 7

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