## How many different ways can the letters of the word mathematics be arranged so that the vowels always come together?

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!)(

## How many different words can be formed with the letters of the word mathematics?

Answer: (3) 11!/(2!.

## How many different arrangements can be made with the letters of the word mathematics in how many of these arrangements vowels occur together?

The number of **arrangements** that **can be made with the letters of the word** ‘**MATHEMATICS**‘ in which all **vowels** comes **together**, is. 8! ×4!

## How many ways can you rearrange the letters?

“ARRANGEMENT” is an **eleven**-letter word. If there were no repeating letters, the answer would simply be 11! =**39916800**.

## Which letters are present in even numbers in the word mathematics?

Since the **letters** ‘R’ and ‘M’ are **present** two times each, which is **even**, so the **letters** ‘R’ and ‘M’ are **present even number** of times. The third one is ACCOMODATION. Since the **letters** ‘A’, ‘C’ and ‘O’ are **present** two times each, which is **even**, so the **letters** ‘A’, ‘C’ and ‘O’ are **present even number** of times.

## How many 4 letter words can be formed from the letters of the word mathematics?

MTHE – is hardly a **word**, so i started counting actual “**words**” so obviously completely bombed the question! Bunuel wrote: jatt86 wrote: 1) how **many words can be formed** by taking **4 letters** at a time out of the **letters of the word MATHEMATICS**. There are 8 distinct **letters**: M-A-T-H-E-I-C-S.

## How many 4 letter words can be formed using the letters of the word failure?

=480. There are **four** cases in which F is present in the **word**. CASE 1:- F is the first **letter** of the **4**–**letter word**, The rest 3 **letters** required **can** be chosen in ^{7}C_{3} ways from the **word FAILURE**.

## How many 4 letter words can be formed from the letters of the word combination?

We are given the **word**, **COMBINATION**, We are to find **4 letter words** using the **letters** in **COMBINATION**. =8C**4**×**4**!

## How many 3 letter words are formed using the letters of the word time?

Out of which 2e,2s, r and I. For permutations with no repetition- permutation of **letters** (s, e, r, I) taking **3** at a **time** = 4p3=24.

## What is the probability of getting a vowel from the word mathematics?

Answer. (a) **probability of getting a vowel** is 4/11.

## How many ways can you arrange 2 letters from the word square?

The number of **2**–**letter** words is (6**2**)⋅**2**! =30.

## How many ways can 8 letters be arranged?

Note: 8 items have a total of **40,320** different combinations.

## How many ways can 9 letters be arranged?

**362880** is the number of ways to arrange 9 letters (alphabets) word “FRACTIONS” by using Permutations (nPr) formula.

## How many ways can a 7 letter word be arranged?

According to the probability, **7 letter word can** be **arranged** in 5040 **ways**, which is **7**!.