How many different squads of 5 players can be picked from 10 basketball players?
The number of different squads of 5 players that can be picked from 10 basketball players is:
10 choose 5
which can be calculated as:
(10!)/(5! * 5!) = 252
Therefore, there are 252 different squads of 5 players that can be picked from 10 basketball players.
To calculate the number of different squads of 5 players that can be picked from 10 basketball players, we can use the combination formula. The formula for combination is nCr = n! / (r! * (n - r)!), where n is the total number of players and r is the number of players in each squad.
In this case, we have 10 basketball players and want to pick squads of 5 players, so n = 10 and r = 5.
Plugging these values into the formula, we get:
10C5 = 10! / (5! * (10 - 5)!)
Simplifying the equation:
10C5 = 10! / (5! * 5!)
Since 10! = 10 * 9 * 8 * 7 * 6 * 5! (Note that 5! cancels out), the equation becomes:
10C5 = (10 * 9 * 8 * 7 * 6 * 5!) / (5!)
The 5! terms cancel out, and we are left with:
10C5 = (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)
Calculating the value:
10C5 = (30,240) / (120)
10C5 = 252.
Therefore, there are 252 different squads of 5 players that can be picked from 10 basketball players.