Question

In: Statistics and Probability

Suppose Anna hosts a cookout with 7 of her friends. She has purchased 8 burgers, 8...

Suppose Anna hosts a cookout with 7 of her friends. She has purchased 8 burgers, 8 steaks, and 5 pieces of chicken. If she wants to cook 16 food items in total (each person gets two items), including at least 2 burgers and 1 steak, how many possibilities are there to choose from what she purchased? Do not distinguish between who gets what, only consider the 16 food items.

(a) Solve using inclusion-exclusion.

(b) Solve using a generating function.

(C) What if two people want 3 food items, and the rest want 2 (and there are still at least 2 burgers and 1 piece of chicken among those cooked)?

Solutions

Expert Solution


Related Solutions

Anna Laura rides her bike. First she travels 3.5 km due east, then she takes a...
Anna Laura rides her bike. First she travels 3.5 km due east, then she takes a left turn and travels 2.5 km due north. Draw a graph illustrating the motion; be sure to choose a valid coordinate system and indicate the length scale of your axes. Draw the displacement vector x. Write the vector x include the magnitude and the direction; the direction can be an angle relative to one of your axes.
A) Anna is borrowing $19,700 from her parents today at an interest rate of 4.2%. she...
A) Anna is borrowing $19,700 from her parents today at an interest rate of 4.2%. she will make monthly payments of $325 starting October 17, 2020, to repay the loan. how many payments will be necessary? round to whole number B)Nathan is preparing to make his first monthly contribution of $781 today to prepare for retirement. his retirement goal is $609,000 and he hopes to earn 9.4% interest, how many contributions will it take? round to whole number C) Maddy...
Anna is a jeweller and operates her own business selling jewellery on the Gold Coast. She...
Anna is a jeweller and operates her own business selling jewellery on the Gold Coast. She opened her shop to customers on 1 July 2017. Anna employs two shop assistants. The following information relates to the period from 1 July 2017 to 30 June 2018:  Anna borrowed $200,000 from her bank on 1 July 2017 to purchase equipment and stock. The bank charged interest totalling $6,000 during the income year. Anna on-lent $20,000 of the loan to her daughter...
Background Busy Sally Socialite has trouble remembering people's birthdays, so she has organised her friends into...
Background Busy Sally Socialite has trouble remembering people's birthdays, so she has organised her friends into what she calls a Birthday Support Team, or BST. Each friend needs only to keep track of three items of information: their own birthday (which of course they do not need to write down), the name of someone whose birthday comes earlier in the year than their own (which they write on a card and keep in their left pocket), and the name of...
Anna would like to study more because she feels as if her scores on tests can...
Anna would like to study more because she feels as if her scores on tests can be better. Outline a step-by-step behavior modification program that might help her achieve her goal.
Laura has a $100,000 balance in her checking account at Best Bank, and she has purchased...
Laura has a $100,000 balance in her checking account at Best Bank, and she has purchased a certificate of deposit (CD) worth $50,000 issued by Best Bank. Laura is also thinking of investing $200,000 either in Best Bank or in Trust Bank. Which of the following is a suitable strategy for Laura if she wants her deposits to be completely insured? a. Laura should invest $150,000 in a money market deposit account (MMDA) of Best Bank and invest $200,000 in...
Bob's Burgers has a beta of .8 and just paid a dividend of $1.2 that is...
Bob's Burgers has a beta of .8 and just paid a dividend of $1.2 that is expected to grow at 3.5%. If the risk-free rate is 3% and the market risk premium is 6%, what should be the price of the stock?
Anna just turned 55. She is planning to retire in 10 years, and she currently has...
Anna just turned 55. She is planning to retire in 10 years, and she currently has $500,00 in her 401k fund. She assumes that she will live 20 years past her retirement age. During each of these 20 years, she desires to withdraw $100,000 from her retirement fund. If the interest rate is 5% annually, how much will Anna have to save per year for the next 10 years (from 55 to 64)? Assume that the first deposit to her...
Anna just turned 55. She is planning to retire in 10 years, and she currently has...
Anna just turned 55. She is planning to retire in 10 years, and she currently has $500,00 in her 401k fund. She assumes that she will live 20 years past her retirement age. During each of these 20 years, she desires to withdraw $100,000 from her retirement fund. If the interest rate is 5% annually, how much will Anna have to save per year for the next 10 years (from 55 to 64)? Assume that the first deposit to her...
Beth and her husband have 8 good friends (inlcuding her two sisters) 5 of whom are...
Beth and her husband have 8 good friends (inlcuding her two sisters) 5 of whom are men and 3 of whom are women. She won a radio contest with 6 national tickets. Her and her husband will definitely be attending the game but she would like to select friends to attend with her for the other tickets. She is having a hard time deciding, so she puts all 8 names in a hat and randomy draws the names. a. Probability...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT