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Mathematics High School

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

2 months ago

Solution 1

Guest #2391178

2 months ago

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 ; $n!=n(n-1)(n-2)...2\times 1$

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Answer:

$282.59 per share

Step-by-step explanation:

Given that,

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Solution 1

Answer:

2580n -43n^3 - 10000

Step-by-step explanation:

From the question:

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Answer: it will take 5 months for both gyms to cost the same.

Step-by-step explanation:

Let x represent the number of months for which the total cost of gyms are the same.

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Step-by-step explanation:

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Option D is correct.

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Hope this helps!

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If there were 5 million births in a particular country and 3 comma 375 sets of naturally occurring triplets, what is the experimental probability of having triplets naturally?

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Answer:

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Solution 1

Answer:

Step-by-step explanation:

There are first 20 positive integers 1,2...20. Three distinct integers are chosen at random.

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Solution 1

Answer:

Step-by-step explanation:

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