Solve each problem. Show your solution following the Fundamental Counting Principle. 1. How many 2-digit numbers can be formed from even-numbered digits if repetition of the digit is not allowed? 2. Digits 1, 2, 3, and 4 are given. How many 4-digit numbers can be formed when the repetition of the digit is allowed? 3. How many unique 4-digit numbers greater than 5000 can be formed using the odd-numbered digits?

Q: 2. Counting techniques In how many ways can 12 people be seated in a row if there are 6 married…

A: There are 12 peopleso the 12 people can sit 12! waysAnd 6 couple must sit beside each other in…

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: Using technology to randomly secelting two numbers form 1 to 6. Find the sum and subtract 1 to…

A: Given info: Use technology to randomly select two numbers from 1 to 6. Find the sum of generated…

Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40…

A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the…

Q: Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a) Digits…

A: Hi thankyou for posting this question,  since you have posted multiple subparts  as per our policy…

Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: Given   Three men and three women are to be seated in a row of chairs numbered 1 through 6.

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

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Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: Solve the three counting problems below. Then say why it makes sense that they all have the same…

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Q: How many numbers between 1 and 100,000 can be divided by 24?

A:

Q: For how many n = {1, 2, ..., 695} is n a multiple of one a multiple of one or more of 8, 3, or 7?

A: In the range of [1, 695] the number of numbers divisible by an integer k =  represents the floor…

Q: For how many n = {1, 2,…, 645} is n a multiple of one or more of 8, 7, or 3?

A: n belongs to (1,2,....645) is n a multiple of one or more of 8,7 or 3.

Q: A classic counting problem is to determine the number of different ways that the letters of…

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Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

A: The possible outcomes for event A are {2,4,6,8,10,12,14} i.e 7 outcomes The possible outcomes for…

Q: 4. Find the counting problem below: a. 4x5x6x.x1000 b. (50 10) c. (255) с. d. 25 5 P. 50 10 е.

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