## Chapter 6 — Three with a second step is not seven ### Lesson map Lesson 06. Map, example, EX052. ```mermaid flowchart TD A["Fourth field true on three rows"] --> B["Print says MFA on 3"] B --> C{"Does 3 mean every account?"} C -->|No| D["Keep the four no-MFA lines"] C -->|Yes| E["That reading invents four flags"] ``` The count is a tally of one column. It is not a promise about the other rows. ### Logical drawing ```text second step on owner email, card payments, accounting second step off, and printed orders mailbox, shop admin, social page, supplier portal not the same number checklist after: 7/8 ``` ### Learning outcomes After this chapter, you should be able to: 1. Name the three rows that already have a second step on the account print. 2. Keep the four `no MFA` lines. 3. Refuse to read 3 as 7. ### 6.1 The column counts flags, not wishes. On the account list, the second-step flag is true for Rosa's own mailbox `owner@shop`, for card payments `rosa.m`, and for accounting `rosa.m`. Those are the three. The print therefore says `MFA on 3` out of `accounts 7`. The other four rows are printed, not implied: the orders mailbox, the online shop admin, the social page, and the supplier portal. Card payments and accounting share the label `rosa.m` and still are two services, both already flagged on, both used by Rosa alone. Nothing in that arithmetic says the four printed gaps grew a second step. The checklist's `after: 7/8` counts checklist items, not these seven rows, so it cannot be substituted for `MFA on 3`. Turning the four false flags to true would be a different list. This run does not contain that list. ### 6.2 Worked example Say "three rows" when you mean the account column, and "seven items" only for the checklist. | Claim | What the account print supports | Decision | |---|---|---| | "Three rows already have a second step." | `MFA on 3` | May stay | | "Four named rows are printed without one." | The `no MFA` lines | May stay | | "3 of 7 means the same as 7 of 8." | Different denominators | Refuse | | "Flip the four flags." | No second run | Refuse | > **Synthetic case.** The flags are synthetic columns. No second step is being switched on in this lesson. ### Errors and limits A small numerator is easy to round upward. Here the printed gaps are the point of the count. ### Apply - **EX052 — What does 3 count?** A classmate says MFA on 3 means every account now has a second step, because the checklist later reached 7 of 8. Which rows does 3 actually count, and which lines stay? *Rubric:* 3 = three rows only, owner email, card payments and accounting; the four no-MFA lines stay; 3 is not 7; the checklist 7/8 does not rewrite the account column;; 2 = keep MFA on 3 and the four lines;; 1 = the count only;; 0 = none. ### Continue studying — lesson 06 (chapter 06 of 20) [← Chapter 05](#ch-05) · [Course chapter index](../SUBJECTS.md) · [Chapter 07 →](#ch-07) Continue to the next authored lesson. ## Worked answers **EX052.** Three rows only: the owner email, card payments, and accounting. The four no-MFA lines stay. 3 is not 7. The checklist score of 7/8 does not rewrite the account column.