The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. 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.

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

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

$C_{15,5} = \frac{15!}{5!10!} = 3003$

The traveler can plan such a tour in 3003 ways.

4 0

2 years ago

Plsss help i’ll give brainliest if you give a correct answer

Ugo [173]

Answer:

Step-by-step explanation:

8 0

2 years ago

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Find the two straight lines represented by x² + 5xy - 6y² = 0

Andreyy89

By factorizing, we have

$x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0$

so that

$x - y = 0 \implies \boxed{y = x}$

$x + 6y = 0 \implies \boxed{y = -\dfrac x6}$

3 0

1 year ago

9. Find the area of rectangle.<br> 2x<br> A=<br> 5x?<br> please help

Simora [160]

Answer:

$\huge\boxed{Area\ of\ Rectangle = 10x\³}$

Step-by-step explanation:

Area of Rectangle = Length * Width

Where Length = 2x and Width = 5x²

Area of Rectangle = (2x)(5x²)

Area of Rectangle = 10x³

6 0

2 years ago

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