Grade 12th passAlgebra
How many ways are there to arrange the letter in the word Sachin with the vowels in alphabetical order
1 Answer
Pratyush Ranjan Roul
As “a , i ” are the two vowels
So, there are six conditions :-
1) a i _ _ _ _
2) a _ i _ _ _
3) a _ _ i _ _
4) a _ _ _ i _
5) a _ _ _ _ i
In the dashes the letters “ S, c, h, n” can be filled
As there are no repetitions
So,
the no. of ways in all cases are 4! i.e. = 24
So, as there are 6 separate ways of doing so
Therefore we add it up =6×24 = 144
But, the i can be replaced by a
So,
Total no. of ways = 2×144=288
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