How many words can you make using the letter of leader so that the vowels are together?

Correct Answer - Option 3 : 360

Given

Word = LEADER

Concept

A word having 'n' letters in which 'a' letters are repeated can be written in n!/a! ways.

Calculation

Number of letters in LEADER = 6

Number of repeated letters = 2

∴ Required ways = 6!/2! = 6 × 5 × 4 × 3 = 360

In how many ways can the letters of the word 'LEADER' be arranged?

A. 72

B. 144

C. 360

D. 720

E. None of these

Answer: Option C

Solution(By Examveda Team)

The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
∴ Required number of ways $$ = \frac{{6!}}{{\left( {1!} \right)\left( {2!} \right)\left( {1!} \right)\left( {1!} \right)\left( {1!} \right)}} = 360$$


Note: There are 1 anagrams of the word leader. Anagrams are meaningful words made after rearranging all the letters of the word.
Search More words for viewing how many words can be made out of them
Note There are 3 vowel letters and 3 consonant letters in the word leader. L is 12th, E is 5th, A is 1st, D is 4th, R is 18th, Letter of Alphabet series.

Wordmaker is a website which tells you how many words you can make out of any given word in english language. we have tried our best to include every possible word combination of a given word. Its a good website for those who are looking for anagrams of a particular word. Anagrams are words made using each and every letter of the word and is of the same length as original english word. Most of the words meaning have also being provided to have a better understanding of the word. A cool tool for scrabble fans and english users, word maker is fastly becoming one of the most sought after english reference across the web.

How many words can you make using the letter of leader so that the vowels are together?

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1. 

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

Answer: Option D

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).


2. 

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

Answer: Option C

Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

How many words can you make using the letter of leader so that the vowels are together?
Required number of ways = (120 x 6) = 720.

Video Explanation: https://youtu.be/WCEF3iW3H2c

How many way the letter Leader can be arranged?

The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R. 6! = 360.

How many words can be formed with leader?

We found a total of 58 words by unscrambling the letters in leader.

How many arrangements of leading are possible where all vowels are together?

When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

How many different ways can letter leading?

 Required number of ways = (120 x 6) = 720. The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter.