Question #51bb7

1 Answer
Jun 16, 2017

Answer:

See explanation.

Explanation:

The question is not clearly stated, but I will try to answer it.

The problem is: "Can a pizza have more than one identical topping?"

  • If there can be more than one identical topping, then the number of ways can be calculated as:

#n=4xx10^3=4,000#

The number comes from multiplying number of cheese types, and the number of toppings (3 times)

  • if the toppings cannot be different, then the number is:

#n=4xx10xx9xx8=2,880#

The number is calculated as follows:

  • cheese can be chosen in 4 ways,

  • the first topping can be chosen in 10 ways

  • the second topping can be chosen in 9 ways (it cannot be the same as the first one)

  • the third topping can be chosen in 8 ways (it cannot be the same as the first and the second one)

Hope that helps.