![Mathematics All Around (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134434681/9780134434681_largeCoverImage.gif)
List all the ways you can select two different letters from the word EXIT. The order of selection is important, so IT is different from TI.
![Check Mark](/static/check-mark.png)
To find:
The list of all the ways that two different letters from the word EXIT and not giving importance to the order of selection.
Answer to Problem 1CT
Solution:
The following set gives the pair of selection of two different letters,
Explanation of Solution
1) Approach:
Systematic counting is the simplest way in which we count a set to list all possibilities.
2) Calculation:
Given,
The two different letters form the word EXIT.
Here, we donate the choices by the letters
Draw a tree diagram with four branches as such we have four letters, which is the step 1 of the tree diagram as shown below.
Now, attach three branches to each of the branch obtained in step 1 as repetition is not possible.
Thus, it clear from the above tree diagram that these four letters can be selected in 12 ways as we have 12 branches in the final step of the tree diagram.
Want to see more full solutions like this?
Chapter 12 Solutions
Mathematics All Around (6th Edition)
- Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?arrow_forwardIdentify the like terms in the list or the expression: 9,2x2,y2,8x3,15,9x,11y2arrow_forwardSusan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are comprised of 6 tulips, 6 roses, and 8 daisies?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
![Text book image](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)