mariethequeen2924 mariethequeen2924
  • 03-09-2019
  • Mathematics
contestada

Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 2 vertical stripes, all of different colors.

How many possible flags can be created?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-09-2019

Answer:

  182

Step-by-step explanation:

The number of permutations of 14 things taken 2 at a time is ...

  14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

Answer Link

Otras preguntas

What two major processes are involved in the oxygen cycle?
Nadine can send or receive a text message for 15 cents or get an unlimited number for 5 dollars. Write and solve an inequality to find how many messages she can
What is Sir Francis Drake hardships
in what ways is climate controlled by the sun and the water cycle ?
What is Sir Francis Drake hardships
A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are angled at
What two major processes are involved in the oxygen cycle?
What is two thirds minus six thirds
A 1 digit number and a 3 digit number have a sum of 205.  The same two number have a difference of 195, a product of 1,000 and a quotient of 40.  What are the t
Does the depth of a pan affect how water freezes?