Table of Contents

- 1 How many ways can you arrange 3 letters from the word math?
- 2 How many arrangements can be made with the letters of the word MATHEMATICS if I there is no restriction?
- 3 How many ways Mississippi can be arranged?
- 4 How many ways can you arrange the letters of the word math?
- 5 How many different ways can the vowels be arranged together?

## How many ways can you arrange 3 letters from the word math?

If you pick any letter ( m, a, t, or h ) for the first “letter slot” in the word, there are four different choices. Then, for the next “slot”, you have three other letters to choose from to put in there, so that triples the combinations. That’s already 4⋅3 possible ways, or 12 .

**How many ways can we arrange the letters of the word MATHEMATICS?**

In the word ‘MATHEMATICS’, we’ll consider all the vowels AEAI together as one letter. Thus, we have MTHMTCS (AEAI). Number of ways of arranging these letters =8! / ((2!)( 2!))

**How many ways can you arrange all the letters from the word MATHEMATICS such that all the vowels are never together?**

Aptitude :: Permutation and Combination – Discussion Explanation: In the word ‘MATHEMATICS’, we treat the vowels AEAI as one letter. Thus, we have MTHMTCS (AEAI). Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

### How many arrangements can be made with the letters of the word MATHEMATICS if I there is no restriction?

James L. Mathematic can be arranged in 453,600 different ways if it is ten letters and only use each letter once. Assuming all vowels will be together 15,120 arrangements.

**How many ways letters can be arranged?**

=n×(n−1)×(n−2)×…… ×3×2×1. Therefore, we can arrange the letters in the word ‘FACTOR’ in 720 ways. Thus, this is the required answer.

**How many different ways can the letters of the word detail?**

Total number of ways = (6 x 6) = 36.

#### How many ways Mississippi can be arranged?

34650

∴ Hence the number of ways can the letters in ‘MISSISSIPPI’ be arranged is 34650.

**How many arrangements can be made from the letters of the word professional?**

= 2520. ∴ The answer is 60 x 2520 x 8 = 1209600.

**How many different ways can you arrange the letters of the word passenger such that the two’s never occur together?**

Total number of such arrangements possible = 8! / 2!

## How many ways can you arrange the letters of the word math?

Well, the word ‘math’ has 4 letters. To find out the number of ways you can arrange the letters (also called permutations), we need to use the factorial formula (!). The exclamation mark means multiply the number before the exclamation mark by every number before it, so for 4 letters, the formula is:

**What is the total number of possible arrangements of three letters?**

The second space can be filled by any of the remaining 3 letters. The third space can be filled by any of the 2 remaining letters and the final space must be filled by the one remaining letter. The total number of possible arrangements is therefore 4 × 3 × 2 × 1 = 4!

**How many ways can you arrange 3 letters in 4p3?**

There are three places to be arranged with the four letters. Therefore, 4P3 arrangements. 4*3*2 = 24method 2Select three letters from four in 4C3 ways, that is, 4 ways.Next arrange the three letters in three places in 3! ways, that is, 6 ways.Therefore, 4*6 = 24 arrangements. 8 clever moves when you have $1,000 in the bank.

### How many different ways can the vowels be arranged together?

Then consider that for every 10,080 arrangements of the consonants plus the vowel-block, there are 12 different arrangements of that vowel-block. Ie – 10,080*12= 120,960 total arrangements where the vowels are all together. In how many ways can the letters of the word “mathematics” be arranged so that all the M’s are together?