SOLUTION: Find the number of ways of arranging the letters of the word CALENDAR in such a way that exactly 2 letters are present between L and D.
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-> SOLUTION: Find the number of ways of arranging the letters of the word CALENDAR in such a way that exactly 2 letters are present between L and D.
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Question 892689: Find the number of ways of arranging the letters of the word CALENDAR in such a way that exactly 2 letters are present between L and D. Answer by Edwin McCravy(20054) (Show Source):
L _ _ D _ _ _ _
_ L _ _ D _ _ _
_ _ L _ _ D _ _
_ _ _ L _ _ D _
_ _ _ _ L _ _ D
D _ _ L _ _ _ _
_ D _ _ L _ _ _
_ _ D _ _ L _ _
_ _ _ D _ _ L _
_ _ _ _ D _ _ L
For each of those 10 ways above to have exactly 2 letters between the letters
L and D, the blanks can be filled with all distinguishable arrangements of the
6 letters CAENAR, which has 2 indistinguishable A's. The number of
distinguishable arrangements of CAENAR is
So the final answer is:
Edwin