A Mathematics Club consists of 25 male and 30 female students. Find the number of ways that the club can elect a president, a vice president, a secretary and a treasurer.​

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Answer:

Assume any of the 30 members of the club have an equal chance of being selected.

Then the choice for President is 30 choose 1 = 30.

Now there are 29 members remaining for VP, or 29 choose 1 = 29.

Finally there are 28 members from which to select the Secretary, or 28 choose 1 = 28.

The number of ways to select all three is 30*29*28 = 24,360

In conclusion, there are 24,360 ways that the club can elect a president, vice president, a secretary, and a treasurer.

Step-by-step explanation:

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