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
First apply the exponent: 3 ^ 2
9
Then we do the multiplication: 4 * 9 = 36
Finally we add
8 + 36 = 44
Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x
Answer:
circle(50)
Step-by-step explanation:
The circle should have a diameter of 50 so the answer is simply "circle (50)"
<span>C. 17.83 miles per hour
Instead of using D=R*T use D/T=R
D=41
T=2.3
41/2.3=17.83</span>
