How many possibilities are there for the 3?

  • Thread starter Thread starter Jennifer1990
  • Start date Start date
Click For Summary

Homework Help Overview

The problem involves selecting and arranging six digits from the numbers 2, 3, 4, 5, 6, 7, and 8, focusing on the probability that the digits 2 and 3 appear in the correct order but are not adjacent.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the arrangement of digits and the conditions for the digits 2 and 3. One participant attempts to calculate the total arrangements and questions the numerator for the probability. Another participant suggests a method of considering the position of digit 2 and how it affects the placement of digit 3.

Discussion Status

There are differing opinions on the probability values, with one participant suggesting 5/14 and another mentioning 5/21. The discussion is ongoing, with participants awaiting further input from another member for clarification on the problem statement.

Contextual Notes

There is uncertainty regarding the complete question and whether the provided answers are accurate, indicating potential miscommunication or incomplete information in the initial problem statement.

Jennifer1990
Messages
55
Reaction score
0

Homework Statement


Six digits from the numbers 2, 3, 4, 5, 6, 7, 8 are chosen and arranged in a row without replacement. Find the probability that the digits 2 and 3 appear in the proper order but not consecutively


Homework Equations





The Attempt at a Solution


i know that the denominator is 7!, however I'm having trouble finding the numerator. I think that the numerator is 5C4 * 1 *1 however the answer is 5/21
 
Physics news on Phys.org


Suppose that 2 is in the 1st place. How many possibilities are there for the 3?
If 2 is in the 2nd place, in how many places can you put 3?
And if 2 is in the 3rd position?
etc.
 


i believe the answer is actually 5/14
 


I got something else than 5/21 as well (5/14 sounds familiar). But we will know as soon as Jennifer posts again.

Perhaps she has misquoted the answer, or didn't state the complete question.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
31
Views
7K
Replies
2
Views
2K
Replies
7
Views
2K
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K