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Alexeev081 [22]
2 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]2 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.

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Step-by-step explanation:

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Emma buys 3 2/3 yards of blue fabric and some yellow yellow fabric at the store she buys a total of 5 1/3 yards of fabric the eq
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convert the mixed numbers into improper fractions:

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3 years ago
I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?
Marina86 [1]

Answer:

D

Step-by-step explanation:

To keep it short, refer to triangle exterior angle theorem.

Edit: If you want the full explanation,

A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.

Meaning that

measure of angle 1 equal the measure of 3 and 4 combined.

B. is wrong they are equal to each other because angle 2 is equal to angle 2

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So they are equal

C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong

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3 0
3 years ago
Read 2 more answers
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