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Svetach [21]
2 years ago
9

Pls help me with this

Mathematics
1 answer:
scoundrel [369]2 years ago
7 0

Answer:

6mm

Step-by-step explanation:

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In how many ways can the letters in the word MATHEMATICS be reshuffled so that all consonants appear together?
steposvetlana [31]

Answer:

75600

Step-by-step explanation:

We are given that  a word MATHEMATICS

Total letters =11

M repeated 2 times

T repeated 2 times

A repeated 2 times

Total vowels=4

Let MTHMTCS=P

Total number of ways in which MTHMTCS can be arranged=\frac{7!}{2!2!}

PAEAI

Total number of ways in which PAEAI can arranged=\frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!}{2!2!}\times \frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!5!}{2\times 2\times 2}=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1\times 5\times 4\times 3\times 2\times 1}{8}=75600

By using formula ;n!=n(n-1)(n-2)...2\times 1

4 0
3 years ago
4 minutes 45 seconds equal how many seconds
Vlada [557]
240 sec + 45 sec= 285 sec
4 0
3 years ago
Help me please is for today
JulsSmile [24]

A represents 1/8

B represents 7/8

8 0
3 years ago
Please asnwe asap thank you!
zimovet [89]
The answer is option b
4 0
3 years ago
Special right triangles <br><br><br> Find the value of each missing variable
Schach [20]

Hey!

Since they are 45-45-90 triangles, the two legs are <u>equal</u><u>.</u>

<u />

Therefore x is \sqrt{10}

Now, the hypotenuse, y, is the same as any leg times \sqrt{2}

So we do \sqrt{10} * \sqrt{2} which is \sqrt{20}.

Now we need to simplify that.

\sqrt{20} is the same as \sqrt{4 * 5} which is \sqrt{2*2*5} which is 2\sqrt{5}

Hope this helps! :DD

6 0
2 years ago
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