1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
3 years ago
9

A committee has thirteen members. There are three members that currently serve as the​ board's chairman, ranking member, and tre

asurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer.
What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions?
Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer: Probability P = 1/1716

Step-by-step explanation:

Definition

For permutation ( order is important)

nPr = n!/(n-r)!

Given;

Total number of members in the committee = 13

Total number of members to be selected = 3

Since order is important in this case.

The total number (Tt) of possible ways of selecting three executives from the committee members is given as

Tt = 13P3 (since order is important)

Tt = 13!/(13-3)!

Tt = 13!/10!

Tt = 1716

The probability P of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions is equal to

P = number of favourable outcomes/ number of possible outcomes

Number of favourable outcomes = 1 (i.e 1×1×1 = 1) one option for each post.

Number of possible outcomes = Tt = 1716

P = 1/1716

You might be interested in
(1/2y-50)(3/5y+10) what is the answer?
GenaCL600 [577]

The answer is 3/10y^2 - 25y - 500. Glade I could help!

3 0
3 years ago
Find the social security tax deducted for each weekly pay check of $237
worty [1.4K]
14.69 in dollars and 6.2 percent 
5 0
3 years ago
Please help!! Problem in picture
notsponge [240]
20.if m <6=72, then m < 7=108
21. if m<8,then m<7=80
22.if m<110,then m<6=90
23.if m<123, then m<8=123
24.if m<142, then m<7=38
25.if m<13, then m<8=167
26.if m<170, then m<10
27.if m<26, then m <154
,
3 0
3 years ago
Is the complement of a congruent angle it’s supplement
Vedmedyk [2.9K]
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees, so no.
7 0
3 years ago
(x²+4x+4)/(x+2)<br>algebraic expressions class 8<br>no spamms​
maks197457 [2]

Answer:

x+2

Step-by-step explanation:

\frac{x ^{2} + 4x + 4 }{x + 2}  \\ \frac{(x) ^{2} + 2 \times x \times 2 + (2) ^{2}  }{x + 2}  \\ \   \frac{(x + 2) ^{2} }{x + 2}  \\  \frac{(x + 2)(x + 2)}{x + 2}  \\ x + 2

5 0
2 years ago
Other questions:
  • How to find resistance
    11·1 answer
  • 2 1/2 x 1 1/2 pls help
    15·2 answers
  • A six-sided number cube is rolled and a coin is tossed. What is the probability getting a 6 and a heads?
    10·2 answers
  • The standard deviation for a set of data is 7.5. The mean is 235. What is the margin of error?
    8·2 answers
  • How do you simplify (3x+1/2)+(7x-41/2)
    7·1 answer
  • Your computer supply store sells two types of inkjet printers. The first, type A, costs $267 and you make a $24 profit on each o
    8·1 answer
  • Explain the steps on how to convert these repeating decimals to a fraction (a) 0.77 (77 is repeating) (b) 2.3 (3 is repeating (c
    5·2 answers
  • Solve please. Correctly<br> -2x + 5x = 3x - 3
    5·2 answers
  • What is the value of 2x + 5y 8 when<br> 2 and y-4
    15·1 answer
  • ASAP!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!