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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem.
How many different six-character passwords can be formed from the lowercase letters A to F if repetition is not allowed?
Determine the appropriate counting technique. Choose the correct answer below.
A. Arrangements with repetition should be used because we make selections from a group of choices.
B. Permutations should be used because we make selections from a group of choices.
C. Arrangements with repetition should be used because no item may be selected more than once and the order matters.
D. Permutations should be used because no item may be selected more than once and the order matters.
O E. Combinations, because no item may be selected more than once and the order does not matter.
Calculate how many different passwords are possible.
(Type a whole number.)
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