A certain committee consists of 17 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.

Answers

Answer 1
Answer:

There are 4080 ways in which these 3 offices be filled.

Step-by-step explanation:

Here, the total number of candidates present in the committee  = 17

The posts for which people are to be elected are:

President, Vice -President and Treasurer  = 3 posts

Now, selecting a person for the post of president has total 17 ways.

⇒ The number of ways a president can be chosen = 17 ways

As, one person cannot hold 2 positions.

So, now the total candidates  = 17 - 1  = 16 people

⇒Selecting a person for the post of Vice -President has total 16 ways.

⇒ The number of ways a vice president can be chosen = 16 ways

Similarly, the number of ways a  Treasurer can be chosen = 15 ways

Combining the three ways, we get:

the number of ways President, Vice -President and Treasurer can be chosen   = 17 x 16 x 15  =  4080 ways

Hence, there are 4080 ways in which these 3 offices be filled.


Related Questions

What is 2.2 as an improper fraction
Your company spends 15% of their budget on rent each year. Their operating budget was $45,000.
Frankie has $40 in his wallet. He decided to buy a pair of earrings for his mom for her birthday. He spent 25% of his money on the earrings. How much were the earrings?
How does the graph of f(x)=3|x+2|+4 relate to its parent function
18 Alexis washes 10 windows in hour At this rate, how many windows can she wash in one hour?

What would be the answer if I substituted the x for zero?
plz help!!

Answers

The answer would be -5
The answer would be negative five. Anything multiplied by zero is zero so that cancels the 2x^3, leaving you 0-5. Which is -5. 

Roland and Vickie are salespeople who earned the same amount this week. although Vickie made 9 more sales than RolandRoland earns a base of $27 plus $25 per sale, Vickie earns a base of $63 plus $16 per sale. How many sales did Roland make this week?

Answers

Answer:

Roland made 4 sales.

Step-by-step explanation:

If you simplify this equation, you will end up with:

$25x - $16x = $63 - $27

$9x = $36

x = 4

What is bigger 7/8 or 13/15?

Answers

the answer would be 13/15

Use disability rules to determine whether the number is divisible by 2,3,5,6,9,10. 1044

Answers

Answer:

Step-by-step explanation:

1044 is an even number so it is divisible by 2.

1+0+4+4= 9 , 9 is divisible by 3 so 1044 is divisible by 3.

1044 is not having 0 or 5 in unit digit so it is not divisible by 10 and 5.

1044 is divisible by 2 and 3 so it will be divisible by 6.

the price of n tickets to a play is 9n+ 6 dollars. What is the cost in dollars for 8 tickets to the play

Answers

9(8)+6

72+6

78


78$ is the cost of 8 tickets.
put n = 8 and solve it u will get answer

9 (8) + 6
72 + 6
$78

In a scale drawing of a house, 1 inch represents 3 feet. (a)The length of the real house is 21 feet. What is the length of the house in the scale drawing? _ inches

Answers

Answer:

7 inches

Step-by-step explanation:

divide 21 by 3