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Zanzabum
3 years ago
6

How many ways can you arrange your 3 statistics books, 2 math books, and 1 computer science book on your bookshelf if (a) the bo

oks can be arranged in any order
Mathematics
1 answer:
katrin [286]3 years ago
3 0

Answer:

720 different ways.

Step-by-step explanation:

Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.

n! = n(n-1)(n-2)... (n-r)!

If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.

The number of ways that 6 books can be arranged in any order is 6!.

6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)

6! = 6*5*4*3*2*1

6! = 120*6

6!= 720 different ways.

<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.

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Step-by-step explanation:

Ally worked 40 hours for $14/h.

So her total pay i.e. her gross pay is: $(40×14)=$ 560.

she paid $72.80 in federal tax, $34.72 in social security tax, and $8.12 in Medicare tax and  she had $30 taken out for retirement savings.

We are asked to find out her net pay.

" Net pay is an employee’s earnings after all deductions are taken out.

Deductions such as the FICA mandated Social Security tax and Medicare are withheld automatically from an employee’s earnings. Other deductions come in the form of benefits, which may be optional. Health, dental and vision insurance, life insurance, or a retirement fund

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Hence, the total amount on taxes is or her total deductions: $ (72.80+34.72+8.12+30)

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Hence her net pay= $ 560-$145.64

                              =$ 414.36


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