Number of letters possible = 26
Number of digits possible = 10
Number of ways of having 2 characters as letters and 4 as digits =\(\displaystyle{26}^{{{2}}}\cdot{10}^{{{4}}}={6},{760},{000}\)

asked 2021-09-15

A license plate is designed so that the first two characters are letters and the last four characters are digits (0 through 9). How many different license plates can be formed assuming that letters and numbers can be used more than once?

asked 2021-09-04

Consider all four-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 8 from this group? Enter a fraction or round your answer to 4 decimal places, if necessary.

asked 2021-05-05

If John, Trey, and Miles want to know how’ |
many two-letter secret codes there are that don't
have a repeated letter. For example, they want to
: count BA and AB, but they don't want to count“ doubles such as ZZ or XX. Jobn says there are
26 + 25 because you don’t want to use the same
letter twice; that’s why the second number is 25.

‘Trey says he thinks it should be times, not plus: 26-25, Miles says the number is 26-26 ~ 26 because you need to take away the double letters. Discuss the boys’ ideas, Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing ‘on this section’s definition of multiptication.. -

‘Trey says he thinks it should be times, not plus: 26-25, Miles says the number is 26-26 ~ 26 because you need to take away the double letters. Discuss the boys’ ideas, Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing ‘on this section’s definition of multiptication.. -

asked 2021-09-15

How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

asked 2021-05-17

How many permutations of three items can be selected from a group of six? Use the letters A,

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.

B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.

asked 2021-11-12

In how many ways can a set of five letters be selected from the English alphabet?

asked 2021-11-07

What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 50 people enter a contest and a) no one can win more than one prize. b) winning more than one prize is allowed.