A->aA| a| bThe number of steps to form aab:ans.4  325 Previous Marked for Review Next

1. Break Down the Problem

To derive the string "aab" using the grammar A -> aA | a | b, we need to analyze how many steps are involved in this production.

2. Relevant Concepts

The given grammar allows us to produce strings by applying productions. The steps taken to create the string determine how many transitions we perform.

3. Analyze Each Step

Let's break down how "aab" can be produced step by step:

1. Start with the initial variable: A.
2. Apply the rule A -> aA:
   • Result: "aA"
3. Apply the rule A -> aA again on A:
   • Result: "aaA"
4. Now apply the rule A -> b on A:
   • Result: "aab"

Total steps taken:

• Step 1: A -> aA
• Step 2: A -> aA
• Step 3: A -> b

This gives us a total of 3 steps to derive "aab."

4. Verify and Summarize

Let's summarize the number of steps:

• Production from A to aA (1 step)
• Production from A to aA again (1 additional step)
• Production from A to b (1 more step)
• Total Steps: 3

Final Answer

The number of steps to form "aab" is 3.