Stratton K.

asked • 01/03/21

Probability question

Q: How many different license plates can be formed if each plate has 5 different digits followed by 1 letter?

Philip P.

tutor
If the digits all have to be different (no repeats of a numeral), then it would be 10 x 9 x 8 x 7 x 6 x 26. Otherwise 10^5 x 26 is correct.
Report

01/03/21

1 Expert Answer

By:

Inactive Tutor answered • 01/03/21

Tutor
New to Wyzant

See tutors like this
See tutors like this

There are ten digits possible, with none being repeated, and 26 letters possible, so we know that the answer would be P(10,5) * 26 = 786,240


P(10,5) is a permutation which selects five numbers without replacement.


Thanks to Tom K. for the correction

Upvote • 0 Downvote
More
Report

Inactive Tutor

correct!!!
Report

01/03/21

Inactive Tutor

It says 5 different digits. It should be P(10,5)*26 = 786240
Report

01/03/21

Theodore H.

tutor
Tom is correct. 10^5 allows numbers to be repeated, whereas permutations P(10,5) selects the five numbers without replacement (i.e., no repeats) AND counts the number of distinct ways that these five numbers can be arranged.
Report

01/03/21

Wendy D.

tutor
As a beginning student, it helps to look at this problem like this: 10(possibilities for 1st position) * 9 (possibilities for 2nd position) * 8 (possibilities for 3rd position) * 7 (possibilities for 4th position) * 6 (possibilities for 5th position) * 26 (possibilities for 6th position)
Report

01/05/21

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.