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:
5½ inches
Step-by-step explanation:
7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½
The cube-shaped box has a volume of 216 cubic inches. The rectangular box has a volume of 160 cubic inches. Therefore, the answer is C) 56 cubic inches.
Answer: 4y+4z
Step-by-step explanation:
When i divide into ratio, i like to think of them as units:
so 24 will be divided into units, where the first thing gets 3 units and the second 5 units. In total those are 3+5=8 units.
so each unit will have 24/8=4
so the division into the two numbers is like this: the first one gets 3 units (3*4=12) and the second 5 (5*4=20)
so it's 12:20.
