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3 years ago

How many ways can the words in d-r-a-g-o-n-f-l-y be arranged

Mathematics

1 answer:

GarryVolchara [31]3 years ago

7 0

Answer:

362880 ways

Step-by-step explanation:

The word dragonfly has 9 different letters.

So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:

First letter has 9 possibilities

Second letter has 8 possibilities (one used)

Third letter has 7 possibilities (two used), and so on.

So the number of ways is:

9*8*7*6*5*4*3*2*1 = 362880 ways

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Ann [662]

Answer:

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Step-by-step explanation:

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2 years ago

Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$