There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Respuesta :

Answer:

4

Step-by-step explanation:

RYGB, BGRY, BRGY, RBGY

The total number of arrangements are 4 and this can be determined by using the given conditions.

Given :

  • There are 4 cups in a row from left to right.
  • The green cup is somewhere between the yellow and blue cups.
  • The red cup is somewhere left of the yellow cup.

The following steps can be used to determine the total number of different arrangements of these cups:

Step 1 - Let the red cup be labeled as R, blue cup as B, green cup as G, and yellow cup as Y.

Step 2 - Given that the green cup is somewhere between the yellow and blue cups so the arrangement is:

YGB

Step 3 - Also given that the red cup is somewhere left of the yellow cup that is:

RYGB

Step 4 - Including the above arrangement, the different arrangements are:

RYGB, BGRY, BRGY, RBGY

So, the total number of arrangements are 4.

For more information, refer to the link given below:

https://brainly.com/question/2096984