A person going to a party was asked to bring 3 different bags of potato chips. Going to the store, he finds 19 varieties.
Need to complete your data and question.
I suspect you may want 19C3
To determine the number of ways the person can choose 3 different bags of potato chips out of 19 varieties, we can use the concept of combinations.
In mathematics, the number of ways to select a certain number of items, without considering the order, from a larger set is calculated using combinations. The formula for combinations is nCr, where n represents the total number of items and r represents the number of items to be chosen.
To calculate 19 choose 3 (19C3), we can use the formula:
nCr = n! / (r! * (n - r)!)
In this case, n = 19 (total varieties) and r = 3 (bags to be chosen).
Calculating:
19C3 = 19! / (3! * (19 - 3)!)
= 19! / (3! * 16!)
= (19 * 18 * 17 * 16!) / (3! * 16!)
= (19 * 18 * 17) / (3 * 2 * 1)
= 969
Therefore, there are 969 different ways the person can choose 3 different bags of potato chips out of the 19 varieties.