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
Alexeev081 [22]
3 years ago
5

Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and

one seating 3 students. In how many ways can the students group themselves for their trip?
Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

\frac{n!}{n1!*n2!*...*nk!}

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

  \frac{15!}{7!*5!*3!}

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5  and 3 seating.

You might be interested in
3 out of every 5 picks are orange if 12 picks are orange how many picks are there in all
marishachu [46]
20 because 12 divided by 3 is 4. then you multiply 5 by 4. and you get 20.
4 0
3 years ago
Read 2 more answers
What is 9/12 in simplest form
sergiy2304 [10]
3/4…
To simplify a fraction, you have to find a similar factor between the numerator and denominator. In this case, it would be 4.
You would divide both numbers by this common factor and create a new fraction.
So… 9/3=3, and 12/3=4. When combined, the answer becomes 3/4.

7 0
3 years ago
Add: 3 1/5 + 2 2/3 PLEASE HURRY IM TIMED AND JUST PEASE HELP ME
Studentka2010 [4]

Answer:

5.86666666667

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Gambar grafik fungsi kuadrat dari y=x²-x-6
sveticcg [70]
-x^2-x+y-6 Should be right
y=x^2-x-6 = x^2-x+y-6
4 0
3 years ago
Solve (x – 3)2 = 49. Select the values of x.
PIT_PIT [208]

Answer:

<h3>x = 27.5</h3>

Step-by-step explanation:

(x - 3)2 = 49 \\  \frac{(x - 3)2}{2}  =  \frac{49}{2}  \\ x - 3 = 24.5 \\ x - 3 + 3 = 24.5 + 3 \\ x = 27.5 \\

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the volume of one cylinder?
    6·2 answers
  • Look at the figure. Which trigonometric ratio should you use to find x?
    9·1 answer
  • Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o
    8·1 answer
  • You earn $8 per hour for babysitting plus $0.75 per mile that she has to drive . Write an equation to represent this situation a
    5·2 answers
  • Hi guys what is and can u please do the method 4050 divided by 100
    15·1 answer
  • Please helpppooopppoo?
    15·1 answer
  • A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there
    7·1 answer
  • Enter the polynomial in standard form. Then enter the leading coefficient
    15·1 answer
  • S а о -3 S - 14 2 -S # -3 -2 1+ A + Lovezujo edos e seu molaguude 16 avuq UUDIUM​
    11·1 answer
  • PLSSSS HELP<br><br> Choose ALL answers that describe the polygon.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!