How many strings are there of four lowercase letters that have the letter x in them?

Maiclubk

Maiclubk

Answered question

2021-06-01

How many strings are there of four lowercase letters that have the letter x in them?

Answer & Explanation

Clelioo

Clelioo

Skilled2021-06-02Added 88 answers

The alphabet has 26 possible letters.
Strings of lentgth 4 We need to use the product rule, because the first event is picking the first bit, the second event is picking the second bit, ... , the 4th event is picking the 4th bit.
26262626=264=456,976
Strings of length 4 without an x. We need to use the product rule, because the first event is picking the first bit, the second event is picking the second bit, the 4th event is picking the 4th bit.
25252525=254=390,625
Strings of length 4 with at least one x. Strings of length 4 with at least one x are strings of length 4 that are not strings of length 4 without an x
456,976390,625=66,351
Result:
66,351 strings

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