(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:
Step-by-step explanation:
(b+8)≤18
Part A:
Given the ratio 1 : 2, we can describe this ratio with the following situation.
The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.
Part B:
Given the ratio 29 : 30, we can describe this ratio with the following situation.
The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.
Part C:
Given the ratio 52 : 12, we can describe this ratio with the following situation.
The
number of kilometers travelled by the car and the bicycle is in the ratio of 52 :
12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.
