I was curious so I had to look this up, I am familiar with 3.0 and 3.5 rules , but 5th is new to me so here is a link to a pdf of the player's hand book. Feats are on page 165, they are all different from what I am use to ( and that's ok ) however there does seem to be far fewer feats.
http://orc-news.ru/dnd5eng.pdf -Doom
5e Feats don't have the same purpose as they do in 3.x and they are usually package of minor features. A lots of the 3.x feats were baked in certain classes/archetypes as option leveling up. For example, the Sorcerer get access to a certain amount of metamagic but they use their spellpoints to perform them.
Also, classes don't get feats selection, taking a feat is an alternate rule: you can only take a feat at the place of an ability score improvement. In other word, you trade you rare chance to get a +2 to an attribute or +1 to two attributes for a feat. Fighters gets more ability score improvement than the other classes though.
