How many different words can be formed using all the letters of the word allahabad when was occupied the even position both l do not occur together?
Answers
60 words can be formed if vowels takes even position , 5880 words can be formed if l do not occur together
Step-by-step explanation:
How many different words can be formed using all the letters of the word allahabad
Case 1: Vowels takes even position
allahabad
total 9
a - 4
l - 2
b - 1
h - 1
d - 1
Vowels takes even position 2 , 4 , 6 * 8
4 position , 4 vowels , A repeated 4 time
hence ⁴P₄/4! = 4!/4! = 1
remaining 5 takes 5 position in
⁵P₅/2! = 5!/2!
= 60 ways
60 * 1 = 60 words can be formed if vowels takes even position
Case 2 : both l does not occur together
Total possible words = 9!/(4! * 2!) = 7560
if both l together
then 8!/4! = 1680 words
both l not together = 7560 - 1680 = 5880
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