Question

In how many ways, can the letters of the word "HONESTY" be arranged ?

Also, in how many ways, can the letters be arranged when it starts with vowel and end with vowel.

Do you like jumbled letters of word honesty ? Why honesty is acquired in your life.

Answer 1

Given word: "HONESTY"

(i) Number of ways can the letters of the word $=7!$

$=7\times 6\times 5\times 4\times 3\times 2\times 1=5040$

(ii) Number of ways that the letters be arranged when it starts with vowel and end with vowel $=2\times 5!=240$

[Since both ends are filled with vowels in two ways and remaining consonants are $5$.]

(iii)

I do not like jumbled words.

Honesty plays very important role in our life and people respect us for it.