Math (Data Management)

The student council is ordering pizza for their next meeting. There are 20 council members, 7 of whom are vegetarian. A committee of 3 will order 6 pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. The shop offers 10 different toppings.

a)How many different pizza committees can the council choose if there must be at least 1 vegitarian and 1 non-vegitarian on the committee?

b)In how many ways could the committee choose up to 3 toppings for a pizza?

c)The committee wants as much variety as possible in the toppings. They decide to order each topping exactally once to have at least 1 topping on each pizza. Describe the different cases possible when distributing the toppings in this way.

d)For one of these cases, determine the number of ways of choosing and distributing the 10 toppings.

  1. 👍 0
  2. 👎 0
  3. 👁 309

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    A person who has served three consecutive terms of four yrs shall be eligible for appointment, nomination for or election to the office of council-member no sooner than for a term beginning eight years after completion of that

  2. History

    Which of the following were the three main parts of Athenian democratic government? A. the Congress, the Council, and the Assembly B. the House of Representatives, the President, and the Assembly C. the Assembly, the Courts, and

  3. English

    Rewrite the paragraph so that all subjects and verbs agree. The PTA agree to fund a fall field trip. The seventh-grade class vote on the destination. Some votes for the zoo, others vote for the museum. After the vote, the student

  4. social studies

    question 1 Which of the following describes how the structure of feudalism in Europe worked? A.There was a council of vassals; peasants voted for council members to represent them. B.The king chose people to serve on a senate; the

  1. History

    Which option most accurately describes the purpose of the Council of Trent? it was a meeting called by Pope Paul 111 to address reformation issues such as the selling of indulgences, clerical corruption, and other abuses it was a

  2. History

    What was an outcome of the Council of Trent? the council of Trent stopped the selling of indulgences the council of Trent abolished the practice of the seven sacraments the council of Trent eliminated the practice of the Eucharist

  3. history

    As populations changed during the Neolithic Revolution, which became the earliest form of government at Catalhuyuk? A. a council of female elders B. a pair of village chiefs C. a council of male elders D. a pair of elite warriors

  4. History

    What were outcomes of the Council of Trent? (Select all that apply.) a. The council decided to develop new training practices for candidates to the priesthood. b. The council decided to launch another Crusade against the Arab

  1. social studies

    Which does the European Council do in the government of the European Union? A. passes laws and adopts budgets B. resolves disputes among members C. ensures legislation is applied fairly D. represents the EU globally

  2. Math for Steve

    1. Identify the part, whole, and percent in the following statement: Find 15% of 750. a. part = 750, whole = n, percent = 15 b. part = 15, whole = 750, percent = p c. part = n, whole = 750, percent = 15 d. none of these 2. Write a

  3. Math - Please Help Me!

    How many ways can an IRS auditor select 3 of 11 tax returns for an audit? There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? License plates

  4. History

    What were outcomes of the Council of Trent? (Select all that apply.) a. The council decided to develop new training practices for candidates to the priesthood. b. The council decided to launch another Crusade against the Arab

You can view more similar questions or ask a new question.