How many distinct pizzas can be made with up to m topping Ho

How many distinct pizzas can be made with up to m topping? How many distinct anagrams of your surname are there?

Solution

Answer 4)

A pizza can be topping or not, so we have always two options for each topping. Thus total possible pizza with possible topping is

2^m

Answer 5)

Since \"surname\" is not given , i will work with

SURNAME

Total number of distinct letter = 7

Hence possible anagram is 7! =5040