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How many ways can you arrange the word KOLKATAA, such that no two K or A come together

How many ways can you arrange the word KOLKATAA, such that no two K or A come together

Grade:12

1 Answers

Yash
38 Points
8 years ago
3! X 4c3 X 1! X 7c2 X 1! 
This can be obtained by first arranging O L and T in 3! Ways and then choosing any 3 places for A between them out of 4 in 4c3 ways and permuating them amongst themselves . And finally choosing any 2 places for K out of 7 in between of A  O L and T  and again permuating them against themselves.

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