We roll a die five times and write down the numbers we get in the order we get them, thus we obtain a 5-digit number. How many different numbers can be obtained in this way?

Decide which statement(s) is (are) true for the following problem:

We insert 7 coins in a parking meter. There are 3 identical coins among them. In how many ways can we insert the seven coins if only one can be inserted at a time?

Decide which of the statement(s) is (are) true for this problem:

In how many ways can you fill in a lottery ticket if you have to mark 5 numbers out of 90?

In how many ways can you fill in a lottery ticket if you have to mark 6 numbers out of 45 ?

In a poetry-telling competition 4 boys and 6 girls performed excellenty. For a school celebration 3 boys and 3 girls need to be chosen from them. In how many ways can we do so?

A family of six members won two tickets to the theatre in a tombola. In how many ways can they choose who will go?

In a class of 29 there are 14 girls. The class would like to put a play on stage in which there are 10 characters, 4 of whom are female. In how many ways can they set up the cast?

There have been 8 questions in this quiz so far. In how many ways could these questions be rearranged?

How difficult were the questions in this quiz?