Formula 1

Permutations of Distinct Objects

P(n,r)=(nr)!n!

Formula 2

Permutations with Non-Distinct Objects

P(n,r)=r1!r2!r3!...rk!n!

Formula 3

Combinations

C(n,r)=(nr)!r!n! 3

3) Subway restaurants typically have 12 different vegetable toppings to choose from.How many different sandwiches could be made from these 12 toppings if you want a sandwich made with 5 different veggie toppings?

a)1^st step:Does the order matter in this question, yes or no?

b)2^nd step:Are the objects all distinct or are some non-distinct?

c)3^rd step:Which formula would you use, formula 1, 2, or 3?

d)Calculate