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:
-6+x≤15
negative six: -6
plus: +
a number: variable (I chose x)
Less than or equal to: ≤ (an inequality)
fifteen: 15
Answer:
$513.50
Step-by-step explanation:
Francois earns $475 plus 5.5% or 0.055 of whatever sales he makes. If he sells $700 then he makes 0.055(700) = $38.50 in commission.
$475 + $38.50 = $513.50
Answer:
3rd one :D
Step-by-step explanation:
° • .°• ✯
★ * ° °·
. • ° ★ • ☄
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Answer:
It rained 1.29 inches in 3 hours
Step-by-step explanation:
<u>Step 1: Make an equation for the word problem</u>
It rained 0.43 inch each hour. What was the total amount of rainfall in 3 hours
0.43n
<u>Step 2: Plug in 3 for n</u>
0.43n
0.43(3)
1.29
Answer: It rained 1.29 inches in 3 hours
