The counting principle states that if there are n ways to do one thing, and m ways to do another, then there are n*m ways of doing both.

In this case, we are selecting two digits without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8.

Step 1: For the first digit, there are 8 possible choices (1, 2, 3, 4, 5, 6, 7, 8).

Step 2: Since we are selecting without replacement, for the second digit, there are now only 7 possible choices left.

So, according to the counting principle, the total number of elements in the sample space would be 8*7 = 56.

Question

The counting principle states that if there are n ways to do one thing, and m ways to do another, then there are n*m ways of doing both.

In this case, we are selecting two digits without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8.

Step 1: For the first digit, there are 8 possible choices (1, 2, 3, 4, 5, 6, 7, 8).

Step 2: Since we are selecting without replacement, for the second digit, there are now only 7 possible choices left.

So, according to the counting principle, the total number of elements in the sample space would be 8*7 = 56.

Knowee AI · Accepted Answer

The counting principle states that if there are n ways to do one thing, and m ways to do another, then there are n*m ways of doing both.

In this case, we are selecting two digits without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8.

Step 1: For the first digit, there are 8 possible choices (1, 2, 3, 4, 5, 6, 7, 8).

Step 2: Since we are selecting without replacement, for the second digit, there are now only 7 possible choices left.

So, according to the counting principle, the total number of elements in the sample space would be 8*7 = 56.

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, 6, 7, and 8.