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I have found those formula about restricted permutations
does this make sense to anyone ?
plz provide examples so that we can all learn and understand when to apply them
hope it help
thanks
Restricted – Permutations
(a) Number of permutations of ‘n’ things, taken ‘r’ at a time, when a particular thing is to be always included in each arrangement
= r n-1 Pr-1
(b) Number of permutations of ‘n’ things, taken ‘r’ at a time, when a particular thing is fixed: = n-1 Pr-1
(c) Number of permutations of ‘n’ things, taken ‘r’ at a time, when a particular thing is never taken: = n-1 Pr.
(d) Number of permutations of ‘n’ things, taken ‘r’ at a time, when ‘m’ specified things always come together = m! x ( n-m+1) !
(e) Number of permutations of ‘n’ things, taken all at a time, when ‘m’ specified things always come together = n ! - [ m! x (n-m+1)! ]
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I'm not sure you want to memorise so many formulas when you would already be under a lot of mental stress during the GMAT. I would recommend you see the logic behind the probabiltiy question, and work out the solution using simple permutation equations. So far, I have not seen a restricted case where I have to recall a formula off-hand. Go through all the combinatorics question in this forum and you'll see what I mean. :wink:
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