Asked by First Name
The inhabitants of the island of Jumble use the standard Kobish alphabet (20 letters, A through T). Each word in their language is 4 letters or less, and for some reason, they insist that all words contain the letter A at least once. How many words are possible?
Answers
Answered by
Reiny
consisting of 1 letter ---- 1 , namely the A
consisting of 2 letters ::
without restrictions= 20x20 = 400
without the A = 19x19 = 361
at least 1 A ----> 400-361 = 39
consisting of 3 letters, no restricion = 20^3 = 8000
without any A's = 19^3 = 6859
at least one A = 8000-6859 = ....
do the 4 letter case the same way, add up the 4 cases.
consisting of 2 letters ::
without restrictions= 20x20 = 400
without the A = 19x19 = 361
at least 1 A ----> 400-361 = 39
consisting of 3 letters, no restricion = 20^3 = 8000
without any A's = 19^3 = 6859
at least one A = 8000-6859 = ....
do the 4 letter case the same way, add up the 4 cases.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.