Factorial 15, usually written as "15!"
13 items of any set can be listed in 13! different ways. That's 1 x 2 x 3 x 4 x ... x 13.
If you consider an 18 x 20 rectangle to be the same as a 20 x 18, there are twelve ways. If not, double that.
how many ways can you get a sum of 1?
In how many distinct ways can the letters of the word MEDDLES be arranged?
The answer is 7!/5! = 42 ways.
13 items of any set can be listed in 13! different ways. That's 1 x 2 x 3 x 4 x ... x 13.
13 items of any set can be listed in 13! different ways. That's 1 x 2 x 3 x 4 x ... x 13.
39916800
36
28
g
5005
81
1
two ways to get help in office program
Portable audio CD players have evolved in many ways. In fact, they evolved from bulky cassette players to walkmans (portable CD players) to what is most common now, Mp3 players that do not require a CD.
To divide 6 tennis players into 3 teams of 2, first, we can choose 2 players for the first team from the 6 players, which can be done in ( \binom{6}{2} = 15 ) ways. Then, we choose 2 players from the remaining 4 for the second team, which can be done in ( \binom{4}{2} = 6 ) ways. The last 2 players automatically form the third team. Since the order of the teams does not matter, we divide by the number of ways to arrange the 3 teams, which is (3! = 6). Thus, the total number of ways is ( \frac{15 \times 6}{6} = 15 ).