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August 2, 2014

August 2, 2014

Posted by **Karina** on Monday, April 1, 2013 at 6:44pm.

a. How many I.D. numbers can be formed using each digit once?

b. How many can be formed using each digit once and not using 0 first?

c. How many can be formed if repetition is allowed and any digit can be first?

d. How many can be formed if repetition is allowed but 0 is not used first?

- algebra -
**Reiny**, Monday, April 1, 2013 at 9:04pma) so we can use the 0 at the front

number of ways = 4x3x2x1 = 24

b) can't have zero at front

number of ways = 3x3x2x1 = 18

c) repeats are allowed and zero can be at front

number of ways = 4x4x4x4= 256

d) repeats allowed but no zero at front

number of ways = 3x4x4x4 = 192

- algebra -
**Reiny**, Monday, April 1, 2013 at 9:05pma) so we can use the 0 at the front

number of ways = 4x3x2x1 = 24

b) can't have zero at front

number of ways = 3x3x2x1 = 18

c) repeats are allowed and zero can be at front

number of ways = 4x4x4x4= 256

d) repeats allowed but no zero at front

number of ways = 3x4x4x4 = 192

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