A club has 27 members. In how many ways can they select a person to be President and a different person to be Treasurer?

Question

alekos · Answer

that would be 27x26

anonymous · Answer

Great thanks! Would it be too much to ask why it is 27x26?

anonymous · Answer

You are taking a multiple-choice test that has 5 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

alekos · Answer

there are 27 possible candidates for president for the first selection after which there are 26 possible candidates for the treasurer. So in total there are 27x26 possible variations.
do you follow?

anonymous · Answer

yes I do alekos. Thank you so very much!

anonymous · Answer

You are taking a multiple-choice test that has 5 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

alekos · Answer

what do you think?

anonymous · Answer

would it be 25?

alekos · Answer

no. there are 5 ways to answer the 1st question and 5 ways to answer the 2nd and so on.
so there are 5x5x5x5x5  or 5^5 different ways to answer all 5 questions

anonymous · Answer

oh got it... you are awesome!