Question

State whether each problem is a counting principle, permutation, or combination. Then solve the problem.
A pizza shop has 14 different toppings from which to choose. How many different 4 topping pizzas can be made?

Answer 1

can somebody help me

Answer 2

the problem consist of factoring,
so
you want to make 4 different topping from 14 different toppings so you would use
the formula = \( \frac{N!}{(N-L)!}\) -->what is defined by this formal?

Answer 3

@helpme1.2, do we know whether, say, cheese followed by pepperoni is different from pepperoni followed by cheese? I wouldn't think order of toppings matters.

Answer 4

I wouldn't think it would matters either, so are you saying it should be \(N^L\) instead?

Answer 5

No, I'm saying since order doesn't matter, you would compute the number of combinations, not permutations like you suggested earlier. A factor of \(L!\) in the denominator will fix it.