Determine the no. of permutations
for the word PHOTOGRAPH​

Given:

The word is "PHOTOGRAPH​".

To find:

The no. of permutations for the given words.

Solution:

The total number of letters in the word PHOTOGRAPH is 10.

It is clear that P, H, O are twice and T, G, R, A are occurred once.

To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.

The total number of permutations for the given word is

[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]

[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]Permutations=453600[/tex]

Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.

Thx so much if you can help!

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O-5 and -3
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False

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y 9 18 27 36

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Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
The tax is:
If taxable
income is over-
But not
over-
SO
$7,825
$31,850
$77,100
$7.825 10 percent of the
amount over SO
$31,850 $782.50 plus 15 percent
of the amount over
7,825
$77,100 $4,386.25 plus 25
percent of the amount
over 31,850
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percent of the amount
over 77.100
$349.700 $39,148.75 plus 33
percent of the amount
over 160,850
no limit S101,469.25 plus 35
percent of the amount
over 349.700
S160,850
S349,700
OA
$6,423.75
OB
$8.150.50
OC. $12.536.25
Reset
Net
Reset
Next

please help me with this

Describe the characteristics of metal in which metal converts into sheet.​

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