Question

How many words can be formed by the letters of the word LAHORE, when
s) all the letters are taken together?
(b) first letter of each word is L ?
(c) in how many words the first letter will not be L?
d) how many words begin with L and end in E?​

Answer 1

Given : LAHORE

To Find : how many words can be formed by the letters of the word LAHORE

that begin with L and end with E

 first letter of each word is L

 in how many words the first letter will not be L?

Solution:

Assuming all letters to be used.

Total Words  = 6!  = 720

 first letter of each word is L  = 5! = 120

first letter will not be L = 720 - 120 = 600

LAHORE

begin with L and end with E

A H O  R

4 can be arranged in 4!  = 24 wasy

24 words can be formed  by the letters of the word LAHORE  that begin with L and end with E

L and E

Then L & E can be arranged in 2 ways

L - - - - E

E - - - - L

Hence 2 * 24 = 48

48 words can be formed  by the letters of the word LAHORE  that L and E occupy end places​

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