Use the counting principle to determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6.

Total number of ways = 6*5 = 30

Step-by-step explanation:

We want to select two digits from the digits 1, 2, 3, 4, 5, and 6. (without replacement)

For the selection of 1st digit we have 6 choices so

n₁ = 6

For the selection of 2nd digit we have 5 choices since replacement is not allowed so

n₂ = 5

Therefore, the total number of ways are

Total number of ways = n₁*n₂

Total number of ways = 6*5

Total number of ways = 30

Note: here we are not considering the order which means (1,2) and (2,1) are considered different numbers.