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
The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.
<h3>What is alimony income?</h3>
Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.
<h3>What are the incomes subject to withholding?</h3>
The incomes subject to withholding include the following:
- Regular
- Commissions
- Vacation pay
- Reimbursements
- Other expense allowances
- Pensions
- Bonuses
- Dividends
- Gambling winnings.
<h3>Data and Calculations:</h3>
Wages income = $50,000
Gambling winning = $20,000
Alimony income = $10,000
Dividend income = $5,000
Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)
Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.
Learn more about withholding tax at brainly.com/question/26781826
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Answer:
I inserted your equation into desmos calculator
, Hope this helps :)
Have a great day!!
1/3=2/6 so
6=36/6 and you add 2/6 and 36/6 to get 38/6 or 19/3
Or 38 sixths
