Q

# Tell me? The total number of ways of arranging the letters AAAA BBB CC DE F in a row such that letter C are separated from one another is:

The total number of ways of arranging the letters AAAA BBB CC DE F in a row such that letter C are separated from one another is:

• Option 1)

2772000

• Option 2)

1386000

• Option 3)

4158000

• Option 4)

None of these

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As learnt in concept

Conditions for Circular Permutation -

The number of circular permutations of n distinct things = (n - 1)!

-

AAAABBBCCDEF

Ways= Total - Two C's are together

$=\frac{12!}{4!3!2!}-\frac{11!}{4!3!}$

$=1386000$

Option 1)

2772000

This option is incorrect.

Option 2)

1386000

This option is correct.

Option 3)

4158000

This option is incorrect.

Option 4)

None of these

This option is incorrect.

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