There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer:
B
Step-by-step explanation:
Answer:
-4x - 24
Step-by-step explanation:
distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24
The fraction of the box of pancake that eliza used is; 1/8.
<h3>What are fractions?</h3>
We are told that the box of pancake mix has 6 cups.
Now, Eliza uses 3/4 of a cup for a recipe.
Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;
(3/4)/6 = 3/24 = 1/8
In conclusion, the fraction of the box of pancake that eliza used is 1/8.
Read more about fractions at; brainly.com/question/122227
