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
Hello there!
12/15 and 8/10 don't have the same value.
Reason:
let's simplify both.
12/3 = 4
15/3 = 5
12/15 = 5/4
8/2 = 4
10/2 = 5
8/10 = 4/5
5/4 is greater than 4/5
5/4 > 4/5
Hope i helped!
Let me know if you need anything else!
~ Zoe
Answer:
Step-by-step explanation:
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★ . ꜝꜞ ᳝ ࣪ hope that helped! ʬʬ
Answer:
16
Step-by-step explanation:
I think so I hope it helps
Answer:
something
Step-by-step explanation:
