1. Eight runners join a race. In how many possible ways can they be arranged as first, second and third placers?
2. During the Pandemic, the means for transportation is really very difficult, so Pepe bought a bicycle and uses it
as his service vehicle to go to his place of work. Unluckily, he forgot the 4-digit lock code of the chain he uses
to secure his bicycle. If the code is arranged in a linear pattern, and he only remembers that it has the digits 2,
5, 6, and 9, then
(a) List all the possible codes.
(b) How many codes are there in all?
3. How many four-digit numbers can be formed from the numbers 3, 4, 7, 8, 9, and 1 if repetition is not allowed?
4. In how many ways can you place 7 different books on a shelf if there is space only for three books?
5. In how many ways can four people arrange themselves in a row for picture taking?
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