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Permutation of word with and without Repetition of letters.

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by arpan20690 » Wed Jan 04, 2012 12:47 am
How to deal with the questions where in a single word with two condition:
1. few letters without repetition.
2. Rest of the letters with repetition.
Example: find the no. of words u can form using the letters of word BELONG.
where first 3 letters without repetition and and last three letters with repetition.
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Source: — Problem Solving |

by shankar.ashwin » Wed Jan 04, 2012 8:26 am
I am not sure what your doubt is,

but BELONG has 6 different letters, now different 6 letter word that can formed such that

first 3 letters without repetition and and last three letters with repetition would be

( _ _ _ ) ( _ _ _ ) = (6 * 5 * 4) * (3 * 3 * 3)

After the first 3 slots are filled in 6P3 ways, the remaining 3 letters can be used with repetition for the last 3 slots, so that is 3*3*3
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by arpan20690 » Thu Jan 05, 2012 12:45 am
But You are not mixing the two different kind of letters.
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