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Thepotemich [5.8K]
3 years ago
8

How many permutations are there of the letters in the word 'PLANTS', if all the letters are used without repetition?

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

6!

or

6*5*4*3*2*1

or

720

Step-by-step explanation:

The word 'PLANTS' contains no letter more than once.

It is say 6 letter word.

_  _  _ _ _ _

There are 6 ways to choose the first blank (after than there are 5 letters left to choose from)

After the first blank, there are 5 letter left to choose from so there are 5 ways to choose the second blank.

Then 4 ways for the third blank.

3 ways for the fourth blank.

2 ways for the fifth blank.

1 way for the sixth blank.

Now to figure out the number of permutations you must multiply the number of different ways we have above for each blank.

That is we are doing 6*5*4*3*2*1 or 6!

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A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
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Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

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Read 2 more answers
G(x) = x3 + 6x2 + 12x + 8
Sonbull [250]

The function’s value when x = −1 will be C. g(−1) = 1.

<h3>How to calculate the value of the function?</h3>

It should be noted that that a function is simply used to show the relationship that exists between the variables.

There's a 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries.

The. function is x³ + 6x² + 12x + 8.

= x³ + 6x² + 12x + 8.

= (-1)³ + 6(-1)² + 12(-1) + 8

= -1 + 6 - 12 + 8

= 1

Therefore, the correct option is C.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

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