Asked by Anonymous
Given a four digit number XXXX, are there more permutations if repetition is allowed or not allowed?
Answers
Answered by
Steve
with no repetitions, there are only 4! permutations.
With repetition, there are 10^4 (or maybe 9*10^3 if you disallow leading zeros) choices.
With repetition, there are 10^4 (or maybe 9*10^3 if you disallow leading zeros) choices.
Answered by
Reiny
if a zero is allowed in the lead position, then with no repetition, there would be
10(9)(8)(7) ways
if a zero is allowed in the lead position, and repetition is allowed, there would be
10^4 ways
If zero is not allowed, with no repetition: 9(9)(8)(7)
zero not allowed, but with repetition: 9(10^3)
If XXXX is a specified number, and the numbers are all different,
then 4! , as Steve said in his first answer
If XXXX is a specified number and some of the numbers are duplicates, then more
information is needed.
10(9)(8)(7) ways
if a zero is allowed in the lead position, and repetition is allowed, there would be
10^4 ways
If zero is not allowed, with no repetition: 9(9)(8)(7)
zero not allowed, but with repetition: 9(10^3)
If XXXX is a specified number, and the numbers are all different,
then 4! , as Steve said in his first answer
If XXXX is a specified number and some of the numbers are duplicates, then more
information is needed.
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