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:
28%
Step-by-step explanation:
start with $46 = 100% of starting price
coupon = 40% off starting price
40% off of 100% = 100% - 40% = 60% of starting price = price after coupon
60% = 0.6
60% of starting price = price after coupon = 0.6 * $46 = $27.6
then, a 20% processing fee is applied to the price after the discount
new price = $27.6 = 100% of new price
fee = 20% added to new price
20% added to new price = 100% + 20% = 120% of new price
120% = 1.2
final price = price after fee = 120% of new price = 1.2 * $27.6 = $33.12
change in percentange = (original price - new price) / original price * 100
= ($46 - $33.12) / $46 * 100 = 28%
Answer:
C) -9
Step-by-step explanation:
Exponents in a polynomial must be positive integers. Since your ? has a minus sign in front, its value must be negative. The only such choice is C.
Answer:
is 3
Step-by-step explanation:
