Discrete Mathematics and Its application

PLEASE , be thorough in your answer and explain steps, this makes it alot easier for me to understand thank you.

1) Prove that 12 divides n4 n2 for all natural numbers n. Prove this using two different methods, by induction and also by using divisibility facts from arithmetic.

2) You are dealt three cards randomly from a standard deck of 52 cards. Are you more likely to have cards from three different suits (such as the 3 of hearts, the 7 of clubs, and the 8 of spades) or more likely to have two cards from one suit and a third card from a different suit (such as the 10 of diamonds, the ace of diamonds, and the 6 of hearts)? Justify your answer.