from the 20 dvds you purchased this past year, you plan to take five with you on vacation. how many different sets of five dvds can you take
There are 15 different sets of 5 DVDs that can be taken from a total of 20 DVDs. This can be calculated using the formula for combinations, which is:
nCr = n! / (r! * (n-r)!)
Where n is the total number of DVDs (20) and r is the number of DVDs being taken on vacation (5).
So,
20C5 = 20! / (5! * (20-5)!) = 15504 / (120 * 15504) = 15
Therefore, there are 15 different sets of 5 DVDs that can be taken on vacation.