Assume the password for the safe deposit box consists of four different letters from the set and four different numbers from the set . How many different passwords are there?
Suppose six pupils are sitting on six chairs in a row. Among them there are twins. In how many ways can the pupils be seated in the row so that the twins do not sit next to each other?
Each payment card has its numeric four-digit PIN code. How many different PIN codes can be selected, if only a code with different numbers may be used?
On the shelf, there should be three blue cups, three red cups, two yellow cups and two green cups arranged in a row from the left to the right. The cups of the same color are not mutually distinguishable. How many arrangements of these cups are possible?
In a high-speed train set, there should be the following cars included: first class cars, second class cars, sleeping cars, dining car, and luggage cars. How many ways are there to arrange the cars in this high-speed train set?
On a lock of a safe deposit box a ten-digit code can be set. The code can consist only of four s, three s, two s, and one . How many ways are there to set the code?