Eight students are running for three positions in the student council: president, vice president, and secretary. Which represents the total number of ways the three students can be selected if each student can be elected to only one position?

A. 8x3
B. 8x7x6
C. 8x8x8
D. 8!

Is B correct?

To find the total number of ways the three students can be selected, we need to consider the number of choices for each position.

For the position of the president, there are 8 candidates to choose from.
For the position of the vice president, there are 7 candidates remaining after one student is elected as the president.
For the position of the secretary, there are 6 candidates remaining after two students have been elected for the other two positions.

To find the total number of ways to select these three positions, we multiply the number of choices for each position:

8 (choices for president) × 7 (choices for vice president) × 6 (choices for secretary) = 336

Therefore, the correct answer is B.

yes