Question

. How many four letter patterns can be formed using the letters A, B, and C if letters may be repeated?

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Answer 1

24 patterns

Explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4
`P_(3)` =
`(4!)/((4 - 3)!)`

=
`(4 x 3 x 2!)/(1!)`

= 4 x 3 x 2

= 24

4
`P_(3)` = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.