Answer:
a) Varies on b and c
b) 625 combinations
c) 120 combinations
Explanation:
a) How many different cards are possible?
Leads to (b and (c
It depends on if repetition are permitted.
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in a 4 digit numerical combination, you were given 5 numbers.
b) If repetition are permitted:
you can put any of the given 5 digits to the 1st, 2nd, 3rd, and 4th position.
Each digits would have 5 turns.
This means that you will have 5 x 5 x 5 x 5 If there is repetition,
which is 5⁴ is 625 possible combinations.
c) repetition are not permitted:
This would mean that you have;
5 turns for the first digit,
4 turns for the second digit,
3 turns for the third digit,
2 turns for the fourth digit.
which means you have 5 x 4 x 3 x 2 possible solutions.
5 x 4 x 3 x 2 = 120
There will be 120 possible combinations in total if there's no repetitions.
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Hope this helped!