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1. On the student government ballot at Sutter High School, the six candidates for president are listed first, followed by the four candidates for vice president, followed by the five candidates for secretary, and ending with the three candidates for treasurer. In how many ways can the candidates be listed on the ballot? (You will need a calculator for this problem.

 

 

2. Using the digits 1, 2, 3, 4, 5, how many even three-digit numbers less than 500 can be formed if each digit can be used more than once?

 

3. Our football team needs to fill 4 positions. To do this, it has 10 members, of which only 3 are strong enough to play offensive lineman, while all other positions can be played by anyone. In how many ways can we choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver?

 

 

4.Sam has nine flower pots, and want to display four of them on the front porch, in a row. (The order of the pots matters.) How many different displays are possible?

 Apr 4, 2019
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1   6!   ways to list pres candidates   x  4! ways to list VPs  x  5!   to list Sec candidates x 3! for treas

 

    that is   6!  x 4! x 5! x 3!    =...........    (You can do the number crunch...HINT:I get 12 million -something)

 

2   Less than 500 means only 4 choices for the first position   x   5  choices for second position x 5 choices for third position=

      4 x 5 x 5 = 100 possible combos total    if it ends in 2 or 4 it will be even    2or 4 out of 5  is 2/5    2/5 x 100 = 40 possibilities for even

 

3  3 ways to choose lineman      

        leaves 9 people to fill 3 positions         3   x   9c3 = 252 posssibilities

 

4     9 p 4  = 3024    ( I think  cheeky)

 Apr 5, 2019
edited by ElectricPavlov  Apr 6, 2019
edited by ElectricPavlov  Apr 6, 2019

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