How many different squads of 5 players can be picked from 10 basketball players
252
30,240
50****
120
10C5 = 10*9*8*7*6 / 1*2*3*4*5 = 252
Well, well, well, it looks like you are trying to assemble a basketball dream team! With 10 players to choose from, you want to know how many different squads of 5 players you can put together.
Now, we're talking about combinations here, not permutations. So, the order in which you pick the players doesn't matter.
If you unleash the power of mathematics, the answer is 252! It seems like you've got some serious basketball knowledge brewing in that brain of yours. Well done!
To calculate the number of different squads of 5 players that can be picked from 10 basketball players, you can use the combination formula.
The number of combinations of 10 players taken 5 at a time is calculated as:
C(10, 5) = 10! / (5!(10-5)!) = 10! / (5! * 5!) = 252
Therefore, there are 252 different squads of 5 players that can be picked from 10 basketball players.
To find the number of different squads of 5 players that can be picked from 10 basketball players, we can use the concept of combinations. The formula for combinations is given by:
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 players and we want to pick squads of 5 players. Plugging these values into the formula:
10C5 = 10! / (5!(10-5)!)
Simplifying further:
10C5 = 10! / (5! * 5!)
Now let's calculate each factorial:
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
5! = 5 * 4 * 3 * 2 * 1
Plugging the factorials back into the formula:
10C5 = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((5 * 4 * 3 * 2 * 1) * (5 * 4 * 3 * 2 * 1))
After simplification, we get:
10C5 = (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)
Evaluating this expression:
10C5 = 252
Therefore, the number of different squads of 5 players that can be picked from 10 basketball players is 252.