In the 6/55 lottery game, a player picks six numbers from 1 to 55. How many different choices does the player have?
To find out how many different choices a player has in the 6/55 lottery game, we can use the concept of combinations. In this case, we need to find the number of combinations of 6 numbers chosen from a set of 55 numbers.
The formula for finding the number of combinations, denoted as "nCk," where n is the total number of items and k is the number of items chosen, is:
nCk = n! / (k! * (n - k)!)
In this case, we have n = 55 (the total number of numbers to choose from) and k = 6 (the number of numbers to be chosen).
Using the formula, we can calculate:
55C6 = 55! / (6! * (55 - 6)!)
Here's how to calculate this using a scientific calculator:
1. Press the "55" key.
2. Press the "!" key to calculate the factorial of 55.
3. Divide the result by the factorial of 6 (press the "6!" key).
4. Divide the above result by the factorial of (55 - 6) = 49 (press the "49!" key).
5. Calculate the final result.
The result will be the total number of different choices the player has in the 6/55 lottery game.