Alg 2 probability help

Question

anonymous · Answer

Gwen, Joshua, Tamara, Miguel, and Khalil are running for student council offices. The strident with the greatest number of votes is elected president, and the student receiving the second greatest number of votes is elected Vice President. 
HOW DO I MAKE A TREE DIAGRAM FOR THE OUTCOMES?

jim_thompson5910 · Answer

G = Gwen
J = Joshua
T = Tamara
M = Miguel
K = Khalil

Start off with 5 branches

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jim_thompson5910 · Answer

After picking 1 person, you have 5-1 = 4 people left to choose from

so you'll have 4 branches attached to G

|dw:1440641281859:dw|

jim_thompson5910 · Answer

every letter but G will be used to form the next 4 branches

|dw:1440641315068:dw|

jim_thompson5910 · Answer

similarly, for J, you'll have 4 branches with G,T,M,K

|dw:1440641357019:dw|

jim_thompson5910 · Answer

and so on until the other letters get 4 branches of their own

you'll have a total of 5*4 = 20 unique branches or paths