4. Suppose your vehicle is licensed in a state that issues license plates that consist of 3 digits (between 0 and 9)followed by 3 letters (between A and Z). digit1 digit2 digit3 letter1 letter2 letter3How many different ordered sequences of 3 digits can be arranged out of the number digits?b. How many different ordered sequences of 3 letters can be arranged out of the letter digits? n To 2J01 91omi 0If a license number is selected randomly, what is the probability that yours is the one selected?P91 ari aveidasOBmatisheiem diw 29rbieda.C.e0101enIoiobs 291upe1jol 6 jeni inevo erit stonsbHints: How many different designs of license plates are possible out of the 0-9 digit and A-Z letter selections? Whatcounting technique/s will you use? Note that you will only choose one design for your own license plate.

The number of ways to select r objects out of total n distinct objects is given by the law of…

Answered: vizedbe s to 4. Suppose your vehicle is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

1. The Saints softball team has 3 different colored jerseys (black, orange, and white), three different colored pants (black, orange, and white), and two different colored socks (black and orange). How many different uniform combinations can be made by choosing one jersey, one pair of pants, and one pair of socks? Show the model and/ór calculation(s) that lead to your answer. A. 8 combinations B. 9 combinations C. 12 combinations D. 18 combinations
Please answer the following question and show step by step detail of how you answered all parts.
At a music festival, there are seven bands scheduled to play, numbered 1 through 7. a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first and band 1 last, then how many ways can their appearances be scheduled? a. There are different ways to arrange the bands. (Simplify your answer.) b. If band 3 is performing first and band 1 last, there are different ways to arrange the bands. (Simplify your answer.) Enter your answer in each of the answer boxes.
. Solve for the following:a. What is the probability of getting a blue or white ball if there are 50 balls in total, where 23are red, 11 are black, and the number of blue and white balls are equal?b. What is the probability of not drawing a heart or face or red card?c. How many distinct permutations can be derived from the word BOOKKEEPERS?d. How many ways can you create a password with 3 non-repeating letters, 5 numbers (whichcan be repeated) and 3 non-repeating symbols. Assuming there are 40 symbols available to choosefrom.
How many different 6-letter words can be made a. if the first letter must be E or W and no letter may be repeated? b. if repeats are allowed (but the first letter is E or W)? c. How many of the 6-letter words (starting with E or W) with no repeats end in H?
Pls help ASAP
List all the ways to select two members from S with repetition. The order in which the members are selected is not important. For example, DD is allowed and BA is the same selection as AB. S= {H, J, K, L, M} ....D Identify the list of all the ways to select two members from S, allowing for repetition. Choose the correct answer below. O A. HH, HJ, HK, HL, HM, JJ, JK, JL, JM, KK, KL, KM, LL, LM, MM O B. HH, HJ, HK, HL, HM, JK, JL, JM, KL, KM, LM OC. HH, HJ, HK, HL, HM, JH, JJ, JK, JL, JM, KH, KJ, KK, KL, KM, LH, LJ, LK, LL, LM O D. HK, HL, HM, JK, JL, JM, KL, KM
There are 45 tickets, each one has a digit between 1 and 9 on it and each has a letter A, B, C, D, or E on it. Here is a table of all the tickets: 3 4 6. 7 8 9. A A1 A2 АЗ A4 A5 A6 A7 A8 A9 B1 B2 B3 B4 B5 B6 B7 B8 B9 C C1 C2 C3 C4 C5 C6 C7 C8 C9 D D1 D2 D3 D4 D5 D6 D7 D8 D9 E E1 E2 E3 E4 E5 E6 E7 E8 E9 You pick six tickets at random. What it the probability all six of them have different letters on them?
A fair six-sided die is rolled repeatedly. How many times do roll the die in order to get the first "six" given that the first "four" was rolled on your second roll and your first "five" was rolled on the third roll?
3. How many different arrangements are there using all the letters in the word COMBINATORICS. A. 6.23×10⁹ B. 7.78×108 C. 1.56x10⁹ D. 1.25×10¹0

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