in how many ways can the letters of the word ALGEBRA be arranged without changing the relative order of the vowels and consonants?
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in the word algebra
there are three vowels A and E,A
four constants L,G,Band R
we need to find different arrangements of the word algebra such that relative position of vowels and consonants do not change
Therefore, in the three positions occupied by vowels, we can rearrange the vowels in 3!/2! = 3 ways.
Four consonants can be rearranged in four spaces occupied by consonants in 4! ways = 24 ways.
Therefore, required number of arrangements = 3 x 24 = 72.
hope it helps you.......?.......
there are three vowels A and E,A
four constants L,G,Band R
we need to find different arrangements of the word algebra such that relative position of vowels and consonants do not change
Therefore, in the three positions occupied by vowels, we can rearrange the vowels in 3!/2! = 3 ways.
Four consonants can be rearranged in four spaces occupied by consonants in 4! ways = 24 ways.
Therefore, required number of arrangements = 3 x 24 = 72.
hope it helps you.......?.......
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