Discussion Overview
The discussion revolves around calculating the number of possible 6-digit codes Jacob can create for his bank account using the digits 0 to 9, with specific conditions that the first digit must be odd and the last digit must be even, and that no digits can be repeated.
Discussion Character
Main Points Raised
- Jacob has 5 choices for the first digit (odd numbers: 1, 3, 5, 7, 9) and 5 choices for the last digit (even numbers: 0, 2, 4, 6, 8).
- Some participants suggest calculating the total combinations by filling in the first and last digits first, followed by the remaining digits, leading to a proposed formula of (5)(9)(8)(7)(6)(4) or variations thereof.
- There is a discussion about the number of choices available for the second, third, and fourth digits after selecting the first and last digits, with one participant noting that this would leave 8 choices for the second digit, 7 for the third, and so on.
Areas of Agreement / Disagreement
Participants generally agree on the approach of selecting the first and last digits first, but there are variations in the proposed calculations and the exact number of choices for the remaining digits, indicating some uncertainty in the final answer.
Contextual Notes
There are unresolved aspects regarding the exact calculation method and the implications of the choices made for the remaining digits after the first and last have been selected.