Consider the following grammar:
$S \rightarrow XY$
$X \rightarrow YaY \mid a \text{ and } Y \rightarrow bbX$
Which of the following statements is/are true about the above grammar?
- Strings produced by the grammar can have consecutive three $a$’s.
- Every string produced by the grammar have alternate $a$ and $b$.
- Every string produced by the grammar have at least two $a$’s.
- Every string produced by the grammar have $b$’s in multiple of $2$.
- i only
- ii and iii only
- iv only
- iii and iv only