Question

In: Advanced Math

Use stars and bars to solve each counting problem. You may leave your answers as binomial...

Use stars and bars to solve each counting problem. You may leave your answers as binomial coefficients.

(a) How many collections of 6 (not necessarily distinct) coins can be made from an infinite supply of pennies, nickels, dimes, and quarters?

(b) A social security number is a sequence of 9 digits. How many social security numbers are there n1n2n3 . . . n9 such that ni ≤ ni+1 for i = 1 to 8? For example, 024455888 would count but 254180419 would not count

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Use stars and bars to solve each counting problem. You may leave your answers as binomial...
Use stars and bars to solve each counting problem. You may leave your answers as binomial coefficients. (a) How many collections of 6 (not necessarily distinct) coins can be made from an infinite supply of pennies, nickels, dimes, and quarters? (b) A social security number is a sequence of 9 digits. How many social security numbers are there n1n2n3 . . . n9 such that ni ≤ ni+1 for i = 1 to 8? For example, 024455888 would count but...
solve each equation find all solutions in the interval 0 2π) leave your answers in the...
solve each equation find all solutions in the interval 0 2π) leave your answers in the exact form. a) sin θ = cos(2θ) b) sin (2θ) + cos(2θ) = √2/2 c) cos^3 + cos^2 - 3 cosθ - 3 = 0 d) sin 5x - sin 3x = cos 4x e)sin(3x) + sin^2(x) + cos^2(x) = tan^2(x) - sec^2(x)
Instruction: For this problem, you may leave your answer as as unsimplified expressions with factorials, exponents,...
Instruction: For this problem, you may leave your answer as as unsimplified expressions with factorials, exponents, binomial coefficients, etc. However, you still need to include a brief justification for your results. (40 points - parts (a)–(h): 4 points each; part (h): 8 points In a futuristic dystopian Chicago, society is divided into five factions: Abnegation, Amity, Candor, Dauntless and Erudite. At the age of 16, each person is allowed to choose any faction as their permanent social group at the...
Use Python to solve each problem. Answers should be written in full sentences. Define a code...
Use Python to solve each problem. Answers should be written in full sentences. Define a code that will give users the option to do one of the following. Convert an angle from radians to degrees, Convert an angle from degrees to radians, Return the sine, cosine, or tangent of a given angle (need to know if angle is given in degrees or radians).
Describe a problem that may occur where it would be better to use Access to solve,...
Describe a problem that may occur where it would be better to use Access to solve, rather than Excel. Your initial answer must be a 2 to 3 paragraph response to the discussion question.  
Solve each question and enter on your correct answers in the spaces provided at the Test...
Solve each question and enter on your correct answers in the spaces provided at the Test and Quizzes Section on the Sakai LMS platform. PROVIDE the rough work of your solutions by handwriting, scanning, converting it into pdf and uploading at the ASSIGNMENT SECTION of your Sakai. The file must be named with your Student’s Index Number. 1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and the...
Solve the following problem with Excel Solver: (Leave no cells blank - be certain to enter...
Solve the following problem with Excel Solver: (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 2 decimal places.) Maximize Z = 8X + 17Y. 8X + 14Y ≤ 143          Resource A 1X + 2Y ≤ 75          Resource B 3Y ≤ 12          Resource C   Decision for X      Decision for Y      Total profit $                  Resources Used   Resource A        Resource B        Resource C...
Dear Expert I need your perception and answers how to solve this problem Pagliaci Pizza is...
Dear Expert I need your perception and answers how to solve this problem Pagliaci Pizza is developing a new frozen pizza product, and it asked a random sample of 30 customers to rate the product quality (x variable). The company also observed whether the customer bought the product at the end (y variable) Customer Quality Rating Buy or Not (Buy=1, Not buy=0) 1 16 0 2 20 0 3 27 0 4 29 0 5 38 0 6 46 0...
For this problem, carry at least four digits after the decimal in your calculations. Answers may...
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 66 professional actors, it was found that 43 were extroverts. (a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to two decimal places.) lower limit     upper limit    ...
For this problem, carry at least four digits after the decimal in your calculations. Answers may...
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of 5967 physicians in Colorado showed that 3224 provided at least some charity care (i.e., treated poor people at no cost). (a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT