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
slavikrds [6]
3 years ago
11

From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

27 5-member committees consist of members of the same gender

Step-by-step explanation:

The order in which the members are chosen to the group is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

All girls:

5 girls from a set of 6. So

C_{6,5} = \frac{6!}{5!(6-5)!} = 6

All boys:

5 boys from a set of 7. So

C_{7,5} = \frac{7!}{5!(7-5)!} = 21

Total:

Either all girls or all boys.

6 + 21 = 27

27 5-member committees consist of members of the same gender

You might be interested in
Solve: 5x + 2 = 2x + 14
EleoNora [17]
Solve for <span>xx</span> by simplifying both sides of the equation, then isolating the variable.
X=4
7 0
3 years ago
Read 2 more answers
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
kolbaska11 [484]

Answer:

When y=276, x= 23

Step-by-step explanation:

Since they're directly proportional, when divided they have to equal the same.

180/15= 12 and 276/23= 12

4 0
3 years ago
2 meters
bekas [8.4K]

Answer:

14 meters

Step-by-step explanation:

2x3x6x4=144

7 0
3 years ago
HELP PLEASEEEEEEEEEEEEE
zhenek [66]

9514 1404 393

Answer:

  2 1/12 days

Step-by-step explanation:

Time is the ratio of distance to speed.

  (1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days

5 0
3 years ago
In ΔSTU, the measure of ∠U=90°, the measure of ∠T=32°, and US = 5.8 feet. Find the length of ST to the nearest tenth of a foot.
murzikaleks [220]

Answer:

10.9451≈10.9 feet

Step-by-step explanation:

sinT= hypotenuse/ opposite = x/5.8

sin32= x/5.8

x*sin 32=5.8

x=5.8/sin 32= <u>10.9451≈10.9 feet</u>

8 0
3 years ago
Other questions:
  • Which exppression can be used to find 80% of 120
    7·2 answers
  • 5.123,5.213,5.312,5.31 least to greater
    12·2 answers
  • what is the slope intercept form of a line that is perpendicular to y = x + 3 and passes through point (2, -4)
    8·1 answer
  • Which expression has the same value as -18-(-9)?<br> 0 -18+2<br> 9 -12-(-3)<br> -10-5
    7·2 answers
  • How to write 513,292 in expanded notation
    5·1 answer
  • HELP ASAP!
    6·1 answer
  • Attempt
    12·1 answer
  • 20 POINTS!!!!!!!!! pls answer asap
    5·2 answers
  • A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in the roller coaster, but 3 sea
    7·1 answer
  • Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!