Question

In: Statistics and Probability

Question 5 Assume a club N with five members: N = {Andy, Bill, Cathy, David, Evelyn}...

Question 5 Assume a club N with five members:

N = {Andy, Bill, Cathy, David, Evelyn}

Count the different ways the club could elect a president and a treasurer assuming that no one can hold more than one office.

Question 5 options:

10

40

20

60

Solutions

Expert Solution

ANSWER:

There are 5 choices for president. The onechosen to be president can't also be chosen

for treasurer so there are 4 choices for treasurer.

(5)(4) = 20 different waysthe club could elect a president and a treasurer

{president,treasurer}

{Andy, Bill}         {Bill,Andy}         {Cathy,Andy}        {David,Andy}        {Evelyn, Andy}

{Andy, Cathy}    {Bill, Cathy}        {Cathy,Bill}          {David,Bill}           {Evelyn, Bill}

{Andy, David}    {Bill, David}       {Cathy, David}       {David,Cathy}        {Evelyn,Cathy}

{Andy, Evelyn}    {Bill,Evelyn}      {Cathy, Evelyn}     {David, Evelyn}     {Evelyn, David}

Option:: (C) is correct...............(Ans:: 20)

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