Question

3. In how many different ways can the letters of the word 'CORPORATION' be
arranged so that the vowels never come together?​

Answer 1

Answer:

What are you trying to say please mention carefully

Answer 2

Answer:The answer is 50400 words, it is an really amazing fact hope it helps you.

Explanation:Number of ways to arrange these letters

=

7

!

2

!

=

7

×

6

×

5

×

4

×

3

×

2

×

1

2

×

1

=

2520

In the 5 vowels (OOAIO), 'O' occurs 3 and rest of the vowels are different.

Number of ways to arrange these vowels among themselves  

=

5

!

3

!

=

5

×

4

×

3

×

2

×

1

3

×

2

×

1

=

20

Hence, required number of ways

=

2520

×

20

=

50400

Good question. Hope it helps you, sorry for such pattern of writing i have a keyboard problem

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