Question

Hlo!

In how many ways can the letters of the word 'INSURANCE' be arranged , so that the vowels are never separated ?

Answer 1

$\bf \red{hlo \: users !! \: }$

Solution :- The word 'INSURANCE' has nine differente letters , combing the vowels into one bracket as ( IUAE) and the treating then as one letter we have six letters viz .

(IUAE) , N , S , R , N, C and those can be arranged among themselves in 6!/2! ways and four vowels within the bracket can be arranged themselves in 4! ways.

•°• Required number of words = 6!/2!×4! = 8640 Answer

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Hope it helps you !!!

________Rajukumar!!______

Answer 2

HERE is ur $\underline{\underline{\huge\mathfrak{answer}}}$

✍️✍️✍️

no. of alphabet = 9

first make a packet of all the vowels..

like keep the alphabets or vowels

I,U,A,E

in a single packet

now,

total no. of alphabets = 6

so the no. of ways to arrange this = 6!

= 720 ways

hope it HELPS u❤️❤️

${\bold{\red{\huge{@vIrUS}}}}$