Question

Hey mate answer it.
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Find the arrangements of the letters of the word 'SUBJECTION' when the Relative positions of vowels and consonants are not change.

{Hint-Answer is 17280}
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Answer 1

Answer: 17280

Step-by-step explanation:

It is a simple combination problem,

Number of ways vowels is 4

Number of consonants is 6

Answer is 4!6! = 24x720 = 17280

Answer 2

Answer:

Number of arrangements = 4!6! = 17280

Step-by-step explanation:

The given word is SUBJECTION

Condition: Relative positions of vowels and consonants are not change.

S U B J E C T I O N

The vowels are : U, E, I, and O

consonants : S, B, J, C, T, and N

There are 4 vowels and 6 consonants .

4 vowels can be placed only  in 4 positions  and 6 consonants  are placed in 6 positions

4 vowels can be placed in 4 places 4! ways

6 consonants  can be placed in 6 places 6! ways

Therefore total possibilities = 4!6! = 17280