In the word ARTICLE find the number of permutation by keeping A in the first place or not keeping E in the last place.
How do I solve this. What's the exact category for this type of permutation? Where can I find problems like this one?
2026-04-07 16:15:15.1775578515
Specific position / Restricted permutation [I don't exactly know the name of this topic]
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Try to count the opposite: The number of permutations with A not in the first place AND with E in the last place.
There are 6! permutations with E in the last place. From the remaining 6 letters there are 5! with A in the first place (all permutations of RTICL). So we have 6!-5! permutations with A not in the first place and E in the last place. The total number of permutations is 7! so the result is: 7!-6!+5!