When the reporting verb is in the past (said) and the direct speech is in the past indefinite tense, then the indirect (reported) speech will change into the past perfect tense.
A. Samra is going to say to the principal, "Would we have your permission to go on a study tour?"
B. Samra is going to say to the principal, "Should we have your permission to go on a study tour?"
C. Samra is going to say to the principal, "May we have your permission to go on a study tour?"
D. Samra is going to say to the principal, "Might we have your permission to go on a study tour?"
Explanation
The correct answer is: Samra is going to say to the principal, "May we have your permissi0on to go on a study tour?"
The indirect speech is: "Samra is going to ask the principal for permission to go on a study tour."
The direct speech is: "May we have your permission to go on a study tour?" (This is a polite and formal way of asking for permission, which is suitable for a student asking a principal.)