In the 6/54 lottery game, a player picks six numbers from 1 to 54. How many different choices does the player have?
Since the order in which the numbers are chosen does not matter, it will be
C(54,6) = 25,827,165
Well, let's do some math together, shall we? So, to calculate the number of different choices a player has in the 6/54 lottery game, we need to use a combination formula. The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the total number of options and r is the number of choices.
In this case, we have 54 numbers to choose from, and we want to select 6 of them. So the formula becomes 54C6 = 54! / (6! * (54 - 6)!). Get ready to bust out that calculator!
After doing some calculations, I am happy to let you know that a player has a whopping 25,827,165 different choices in the 6/54 lottery game. That's a whole lot of possibilities! Good luck picking those numbers!
To determine the number of different choices a player has in the 6/54 lottery game, we can use the concept of combinations. In this case, we need to calculate the number of ways to choose 6 numbers from a set of 54.
The formula for calculating combinations is given by:
C(n, r) = n! / (r!(n-r)!)
Where:
n is the total number of items in the set (54 in this case),
r is the number of items being chosen (6 in this case),
! denotes the factorial function.
Using this formula, we can calculate the number of choices as follows:
C(54, 6) = 54! / (6!(54-6)!)
= 54! / (6!48!)
= (54*53*52*51*50*49) / (6*5*4*3*2*1)
= 25,827,165
Therefore, there are 25,827,165 different choices a player can make in the 6/54 lottery game.
To find out how many different choices a player has in the 6/54 lottery game, we can use the concept of combinations. In a combination, the order of the chosen numbers does not matter.
The formula for finding the number of combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
Where:
- n is the total number of choices (in this case, 54)
- r is the number of selections (in this case, 6)
- ! denotes the factorial operation (the product of all positive integers up to a given number)
Applying this formula to the 6/54 lottery game, we have:
C(54, 6) = 54! / (6! * (54 - 6)!)
Calculating the factorials, we get:
C(54, 6) = 54! / (6! * 48!)
Now, we can simplify the equation:
C(54, 6) = (54 * 53 * 52 * 51 * 50 * 49) / (6 * 5 * 4 * 3 * 2 * 1)
By performing the calculations, we find:
C(54, 6) = 25,827,165
Therefore, a player in the 6/54 lottery game has 25,827,165 different choices.