You are tossing 10 coins and counting the number of "tails" coming up
How many different outcomes contain 3 "tails"?
What is the total number of different outcomes?
How many outcomes contain at least 8 "tails"?
How many outcomes contains no more than 8 "tails"?
The management of a sports club consists of members. When meeting, some of them shake hands on arrival.
Draw a grid that can help you to determine all possibilities for someone who wants to shake hands with two persons.
How many possibilities does this person have?
What is the total number of possibilities?
A commercial representative is supposed to visit customers this week. The distance to each customer is about the same. He decides to visit customers the first day.
What is the total number of ways in which he can visit out of customers?
The second day he visits only two customers, because he needs to do some administration work as well. How many possibilities does he have on the second day?
The end score of the soccer match Ajax–FC Zwolle was 6–4. The way this score developed is shown in the figure.
Write down the development of the score by noting the interim scores.
Assuming you only know the final score, in how many ways could the score have evolved?
Except the final score (6–4) you also know the score at the half way break (4–1). What is the total number of ways the score can have evolved?
The figure blow depicts a garden with walking paths and a pond. This garden plan can be schematized into a rectangular grid like the one below. Use this grid to calculate the number of paths without detours from the entrance of the garden to the exit.
The figure shows the international morse code. Each letter consists of at most signals; each digit consists of exactly signals. A signal can be 'short' (denoted by - ) or 'long' (denoted by —).
How many different symbols can you make using a morse code of 5 signals?
How many symbols can you make using no more than 4 signals?
It would also be possible to use two dots and three stripes to denote all digits. Show this by systematically writing down all possibilities.