(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;

Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

The formula can now be applied as follows;

If the order is not relevant, then the selection can be done in 56 ways.
Answer: A dome is an element of architecture that resembles the hollow upper half of a sphere. Half a circle called a semi-circle
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make
flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make
flowers in an hour.
The groups decided to work together. They can make
together in an hour and it takes them
hours. Group B took a break for 1 hour and 40 minutes (
hour), then Group B works
hours.
Thus,

Answer:
Yes because after solving the equation, x does indeed equal 14.
Step-by-step explanation:
-5 + 2x = 23
2x = 23 + 5
2x = 28
x = 14
Answer:
<u>y+5 =-3</u>
x-1
y+5=-3x +3
y=-3x-2
Step-by-step explanation: