posted by .

I have a probability problem on combination that is not easy to solve for me, and I need help. Thank you.

Little Caesar's Pizza had a commercial on tv that said you could buy 1 pizza and get another one free, with up to 5 toppings per pizza. The dialogue went something like this: The older person said, " 5 toppings per pizza , that is 10 different pizzas to choose from"
The little boy then said "no, it is 1,048,576 combinations" Do you think the little boy is right? show the operations to find the number of combinations.

  • Math -

    There are two ways to look at this:

    Put the two pizza's side by side, and offer the 5 toppings to each, one at a time. The customer has a choice of "yes" or "no" to each topping, ten times, so the number of ways the two pizza's can be made is at most 2^10=1024.

    Since the two pizza's can be swapped, so we over-counted by 2, and the number of ways to order the two pizza's drop to 1024/2=512.

    The other way is to calculate the number of ways we can order 1 pizza, which equals 2^5=32 by the same reasoning above. There are 32^2 ways to order two pizzas, except for the duplication. So the number of ways to order the two pizza would be 32^2/2=512, again.

  • Math -

    thank you for your help.I really appreciate it.

  • Math :) -

    You're welcome!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math Help plz!!! Really need help.

    Use the Systematic Trial to solve this problem. Peanut-Pecan Problem Peanuts sell at $5/kg and pecans sell at $20/kg. Marika wants to make 30kg of a mixture of peanuts and pecans that will s ell at $10/kg/ How many kilograms of peanuts …
  2. Math ,help

    how can i simplify this more its for the following problem: Problem #22 solve by using the quadratic formual. 5x^2-4x+1=0 this is where i am but i do not know how to go further. x = (4 (+/-) sqrt (-4))/(10) Problem #23 Solve by completing …
  3. math, help

    How did they solved this problem i got this one wrong on my quizz. Pizza Varieties A television commercial for Little Caesars pizza announced that with the purchase of two pizzas, one could receive free any combination of up to five …
  4. math

    Hello i have a probability problem that i can slove, and i need some help please. problem: If a mother has three bananas, two pears and two oranges, in how many different ways can she give the fruit to her daughter in one week, one …
  5. Math

    Six friends want to buy pizza and need to decide between two deals. The first deal is for two pizzas for $7.00 each for a pizza with a 10 inch diameter. Or a second deal with one pizza with a 14 inch diameter for $15.00. The friends …
  6. Math problem

    You have $60.00 in your wallet and want to buy some new CDs. If the CDs are $11.00 each, what number of CDs, x, can you buy?
  7. Elemements of Math

    Little Caesar's Pizza had a commercial on television that claimed you could buy one pizza and get another one free, with up to 5 toppings per pizza (do not count the pizza sauce or the cheese as a topping). The dialogue on the commercial …
  8. statistics

    34. Two students (say A, and B) are challenged to solve a problem in statistics. Suppose that the probability that A will solve the problem is 40%, the probability that B will solve the problem is 55%, and the probability that A or …
  9. MATH

    in a contest, Bello. Adamu, and Lawi are asked to solve a mathematical problem. the probability that they solve the problem correctly are 1/5, 2/3, and 2/5. find the probability that:(1)None of them solve the problem correctly(2)At …
  10. Math (Fraction Word Problem)

    You have three-fifths of a pizza leftover, and you plan to eat half of it for lunch. How much of the original pizza do you have left over?

More Similar Questions