Combinatorics

Answer all the questions below and press submit to see how many you got right.

id: 14502

In a set of 40 numbers 15 numbers are divisible by 2, 14 are divisible by 3 and 19 are neither divisible by 2 or by 3. How many numbers in the set are divisible by 6?

id: 14606

In a restaurant the guests can choose a main out of 8 pizzas and 4 pastas. How many main courses are there?

id: 14562

How many of the numbers in 1,2,3,...,921 are not divisible by 4?