How to determine the direction of induced current in a solenoid?

[tlfx1996]

I have come across this problem, who to determine the direction of induced current.
It keeps me wondering why the answer that i got is Fleming's right hand rule?
Aren't it should be Right hand grip rule?
Cz the usual and conventional way of inducing electricity in a solenoid is to pass the magnet through the centre of the solenoid.

can Fleming right hand rule works with the index (magnetic field) and middle finger (Direction of induced current) align?

 

[UltrafastPED]

By Lenz's law the induced current must oppose the changing flux ... so the current flows so that the solenoids magnetic field opposes the field of the magnet.If this were not true you could generate more energy than you put into the system - which violates conservation of energy.

I found a nice cartoon here:
https://sites.google.com/site/urbangeekclassroomsg/using-word-documents/electricity-and-magnetism#TOC-Change-in-the-direction-of-the-induced-current-when-a-S-pole-is-inserted-into-the-solenoid-instead-of-a-N-pole