Find the number of different arrangement of letter in the word maharashtra how many of these arrangement have
a.Letters r and h never together
b.All vowels together?
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Letters r and h never together = 10!/32 = 1,13,400 in arrangements of letter of Maharashtra , All vowels together = 10080
Step-by-step explanation:
maharashtra
M - 1
A = 4
H - 2
R - 2
S = 1
T - 1
Total = 11 Vowels = 4 Consonants = 7
Total Possible arrangement = 11! / ( 4! * 2! * 2!)
= 11!/ 96
When r & h are together
(r& h) - 1 Group together in 2 Ways rh or hr
remaining are 9
9 + 1 = 10
Arrangements = 2 * 10! / 4!
= 10!/12
.Letters r and h never together = 11!/ 96 - 10!/12
= 10! (11 - 8)/96
= 10!/32
= 1,13,400
All vowels together AAAA as 1 group
7 other
7 + 1 = 8
= 8! / (2! * 2 !)
= 2 * 7!
= 10080
Learn More :
How many arrangements can be made out of the letters
https://brainly.in/question/12222658
If all the possible words using the letters of the word
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