In a science fair experiment, 2 units are selected for testing from every 500 units produced. How many ways can these 2 units be selected?
Uh what is your problem dude i was trying to ask for help no need to be rude
To find the number of ways to select 2 units from a given set, you can use the combination formula. The formula for calculating combinations is:
C(n, r) = n! / (r! * (n-r)!)
Where:
- n is the total number of units (500 in this case)
- r is the number of units to be selected (2 in this case)
- ! denotes the factorial of a number
Plugging in the values, the formula becomes:
C(500, 2) = 500! / (2! * (500-2)!)
Now let's break down the factorial calculations:
500! = 500 * 499 * 498 * ... * 3 * 2 * 1
2! = 2 * 1
Now substitute these values into the combination formula:
C(500, 2) = (500 * 499 * 498 * ... * 3 * 2 * 1) / (2 * 1 * (498 * ... * 3 * 2 * 1))
Upon simplification, many terms will cancel out:
C(500, 2) = (500 * 499) / (2 * 1) = 250,000 / 2 = 125,000
Therefore, there are 125,000 ways to select 2 units from a set of 500 units.