VIPSolutionsgive answer in 2 step with explanation at the end of each step and final answer at the end:EY I HN A I EY I HN I I I I EY I HN I I I IY I HN I I Cea TT TTT 1]
Question:
give answer in 2 step with explanation at the end of each step and final answer at the end:
EY I HN A I
EY I HN I I I I
EY I HN I I I
IY I HN I I
Cea TT TTT 1]
This is AI generated Response.
Asked by: Test User 100237
Created at: 2025-05-14 03:56:55
Asked by: Test User 100237
Created at: 2025-05-14 03:56:55
Final Answer:
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Let's solve the problem step by step:
---
**Step 1: List all unique preference orders and count how many voters selected each.**
Let's write out each ballot:
- CBAD
- DABC
- ABCD
- ABCD
- ACDB
- ACDB
- DABC
- ACBD
- CBDA
- DABC
- CBDA
- ABCD
Now, let's group similar ballots:
- **CBAD**: 1
- **DABC**: 3
- **ABCD**: 3
- **ACDB**: 2
- **ACBD**: 1
- **CBDA**: 2
Let's check to make sure we have 12 ballots:
1 (CBAD) + 3 (DABC) + 3 (ABCD) + 2 (ACDB) + 1 (ACBD) + 2 (CBDA) = **12 ballots** (Correct!)
---
**Step 2: Fill out the preference schedule template.**
List each unique order as a column, then fill in the ranks:
| | CBAD | DABC | ABCD | ACDB | ACBD | CBDA |
|--------|------|------|------|------|------|------|
| 1st | C | D | A | A | A | C |
| 2nd | B | A | B | C | C | B |
| 3rd | A | B | C | D | B | D |
| 4th | D | C | D | B | D | A |
| Total | 1 | 3 | 3 | 2 | 1 | 2 |
---
**Final Answer:**
| | CBAD | DABC | ABCD | ACDB | ACBD | CBDA |
|--------|------|------|------|------|------|------|
| 1st | C | D | A | A | A | C |
| 2nd | B | A | B | C | C | B |
| 3rd | A | B | C | D | B | D |
| 4th | D | C | D | B | D | A |
| Total | 1 | 3 | 3 | 2 | 1 | 2 |
This is the complete preference schedule for the given ballots.
Question:
give answer in 2 step with explanation at the end of each step and final answer at the end:
This is AI generated Response.
Asked by: Test User 100237
Created at: 2025-05-14 03:58:36
Asked by: Test User 100237
Created at: 2025-05-14 03:58:36
Final Answer:
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Did you like this answer?
Let's solve the problem step by step:
---
**Step 1: Identify all unique preferences and count how many voters selected each.**
**Explanation:**
First, review all the ballots to list each unique preference order and tally their frequencies. The provided ballots are:
1. CBAD
2. DABC
3. ABCD
4. ABCD
5. ACDB
6. ACDB
7. DABC
8. ACBD
9. CBDA
10. DABC
11. CBDA
12. ABCD
Count the number of times each preference appears:
- **CBAD:** 1 time
- **DABC:** 3 times (ballots 2, 7, 10)
- **ABCD:** 3 times (ballots 3, 4, 12)
- **ACDB:** 2 times (ballots 5, 6)
- **ACBD:** 1 time (ballot 8)
- **CBDA:** 2 times (ballots 9, 11)
Total ballots: 1 + 3 + 3 + 2 + 1 + 2 = **12** ballots.
---
**Step 2: Fill out the preference schedule table.**
**Explanation:**
Construct a table where columns are preference orders and rows are ranks (1st to 4th). For each preference, assign the candidate at each rank, based on the preference list, and multiply by the number of voters who selected that preference.
Preference lists:
- CBAD: C, B, A, D
- DABC: D, A, B, C
- ABCD: A, B, C, D
- ACDB: A, C, D, B
- ACBD: A, C, B, D
- CBDA: C, B, D, A
Now, populate the table with the counts:
| | CBAD | DABC | ABCD | ACDB | ACBD | CBDA |
|--------|-------|-------|-------|-------|-------|-------|
| 1st | C | D | A | A | A | C |
| 2nd | B | A | B | C | C | B |
| 3rd | A | B | C | D | B | D |
| 4th | D | C | D | B | D | A |
| Total | 1 | 3 | 3 | 2 | 1 | 2 |
This table shows the distribution of preferences across all voters.
---
**Final Answer:**
The preference schedule is as follows:
| | CBAD | DABC | ABCD | ACDB | ACBD | CBDA |
|--------|-------|-------|-------|-------|-------|-------|
| 1st | C | D | A | A | A | C |
| 2nd | B | A | B | C | C | B |
| 3rd | A | B | C | D | B | D |
| 4th | D | C | D | B | D | A |
| Total | 1 | 3 | 3 | 2 | 1 | 2 |
This completes the preference schedule for the given data.
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