Since there are 3 numbers to choose from, there will be 2^3 = 8 combinations. This includes the null combinations which you may not wish to include in the count.
6 of them.
6
6
There are 6!/3! = 120 different 3-digit numbers that can be made from these 6 digits.
10C6 = 10*9*8*7/(4*3*2*1) = 210 combinations.
6 different combinations can be made with 3 items
6 of them.
6
6
6! = 6*5*4*3*2*1 = 720
There are 6!/3! = 120 different 3-digit numbers that can be made from these 6 digits.
6 ways: 931,913,139,193,391,319
There are 6C3 = 20 such combinations.
3! or 6 combinations can be made from three distinct numbers. For this example they are: 345, 354, 534, 543, 435, 453.
7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.7C3 = 7*6*5/(3*2*1) = 35 combinations.
10C6 = 10*9*8*7/(4*3*2*1) = 210 combinations.
We select 1 shirt out of 6 shirts in (6 choose 1) ways or 6 ways. Then, we select 1 out of 3 pairs of shorts in (3 choose 1) or 3 ways. Therefore, the possible combinations of a shirt and a pair of shorts is 6 * 3 = 18 possible combinations.