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Maslowich
3 years ago
11

How many four-letter codes can be made if no letter can be used twice?

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0

There are 26 letters in the alphabet.

1st letter can be 1 of 26

2nd letter can be 1 of 25

3rd letter can be 1 of 24

4th letter can be 1 of 23

Total combinations = 26 x 25 x 24 x 23 = 358,800

dedylja [7]3 years ago
4 0

Answer:

solution given:

total alphabet =26

The first letter can be any one of the 26 letters in the alphabet.

so

1st word =26letter

since no word is repeated

2nd word =25letter

3rd word=24letter

4th word=23letter

so

four-letter code =26×25×25×23=<u>3</u><u>5</u><u>8</u><u>8</u><u>0</u><u>0</u><u>c</u><u>o</u><u>d</u><u>e</u><u>s</u>

so

<u>358800codes </u><u> </u> <u>of</u> four-letter codes can be made if no letter can be used twice.

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