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
Sedaia [141]
3 years ago
9

A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

erent teams can be formed?
Please help :)
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

nCr = \frac{n!}{(n-r)!r!}

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

7C2 * 9C2

7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

You might be interested in
436.8 divided by 62.08
Readme [11.4K]

Answer:

7.03 if your rounding to the nearest tenth then its 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The simple interest earned on deposit of $3,000 at 6% for 5 years?
KIM [24]
$3900.................
5 0
3 years ago
Read 2 more answers
-4/4 + 160% + 1/5=???
Delvig [45]

Answer:

-4/4 + 160% + 1/5

= -2.4

7 0
3 years ago
Read 2 more answers
Ms. Herty spent 15 hours grading math quizzes in December each grading session lasted 3/4 of an hour how many grading sessions d
Fed [463]

Answer:

11.25 :D

Step-by-step explanation:

4 0
3 years ago
Write the equation, in slope-intercept form, of the line that has a slope of 2 and passes through the point (3, 1).
puteri [66]
From the equation of a line;
y=mx+c
m=2
y=2x+c
Replacing for;
y=1
x=3
1=2*3+c
1=6+c
c=1-6
c=-5
<span>y=2x-5</span>
4 0
3 years ago
Other questions:
  • Solve 3x²-x-2=0. Please show all work.​
    7·1 answer
  • (06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4. Whoever gets t
    6·1 answer
  • 1. Today’s average computer has___times the processing of an old Pac-Man machine
    7·1 answer
  • There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many
    8·1 answer
  • What is the value of the expression? 3 x [(30 - 8) divided by 2 + 2]
    14·1 answer
  • Cushman Company had $838,000 in sales, sales discounts of $12,570, sales returns and allowances of $18,855, cost of goods sold o
    14·1 answer
  • In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that a
    5·1 answer
  • Two-thirds of a number plus 17 is at least 29
    12·1 answer
  • The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
    13·1 answer
  • Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!