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20 May 2010, 23:32
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Let each different arrangement of all the letters of DELETED be called a word. In how many of these words will the D's be separated?
I am getting answer as 300. Can someone please explain if the answer is correct? I am not sure if wee need to carry out some operation because of repetation of D's.
21 May 2010, 00:08
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amitjash
Let each different arrangement of all the letters of DELETED be called a word. In how many of these words will the D's be separated?
I am getting answer as 300. Can someone please explain if the answer is correct? I am not sure if wee need to carry out some operation because of repetation of D's.
I am getting answer as 300. Can someone please explain if the answer is correct? I am not sure if wee need to carry out some operation because of repetation of D's.
There are 7 letters in the word "DELETED", out of which: D=2, E=3, L=1, T=1.
Total # of permutations is \(\frac{7!}{2!3!}=420\);
# of permutations with D's together is \(\frac{6!}{3!}=120\). Consider 2 D's as one unit: {DD}{E}{E}{E}{L}{T} - total 6 units, out of which {DD}=1, {E}=3, {L}=1, {T}=1.
# of permutations with D's not come together is: \(\frac{7!}{2!3!}-\frac{6!}{3!}=300\).
So your answer is correct.
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08 Aug 2020, 20:32
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amitjash
Let each different arrangement of all the letters of DELETED be called a word. In how many of these words will the D's be separated?
I am getting answer as 300. Can someone please explain if the answer is correct? I am not sure if wee need to carry out some operation because of repetation of D's.
Hi thanks for the question!
However, there is no options to choose.
It will be nice if you can edit the post.
Thanks !
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