in how many ways can the word "CARTE BLANCHE" can be permutated with no A or E comming adjacently
3 years, 8 months ago
For just the word CARTE, there are 5! ways to arrange the 5 letters, or 120 ways. If we want the letters A and E to always be adjacentto each other than treat them both as 1 letter. i.e ( AE and EA is the same). Now, there are only 4 letters ( C,AE/EA,R,T) that can be arrange or 4! ways. 4! is 24. Since we want to know how many ways CARTE can be pemutated with no A or E coming adjacently, simply take 120-24= 96 ways.
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if u write AECRTE and in similar way u write EACRTE. according to u when we are taking AE as single word EA has no importance . which is 100% wrong because when we arranging these 5 letters in 5! ways both of the above will come ..
so according to me it should be 4!X2! =48..
so total no of permutations is 120-48=72.
arrangement of word banana without repition
You can do the same with BLANCHE using the same thinking...