Question 396688

1. there are total 7 letters, letter I is two times..

 after putting the I on first place we have remaining 6 letters i.e   SMILAR

 total no. of ways to arrange 6 letters = 6! = 720



2.
here 3 vowels, i.e  I, O and E . after putting vowel of first place we have remaining 11 letters..

when I on first place , number of ways = 11!/( 2! * 2! * 2!) = 4989600

when O on first place, number of ways = 11! / ( 2! * 2!) = 9979200

when E on first place, number of ways = 11!/( 2! * 2! * 2!) = 4989600


total no. of ways = 19958400