Do class and race abilities count against your at-will/encounter powers?

Question

At first level, you know 2 at wills, 1 encounter, and 1 daily power.

Let's say I'm a Tiefling Wizard.

I have an racial power of "Infernal Wrath" which is an encounter power. Wizards can also learn Burning Hands, Chill Strike, Force Orb, Icy Terrain, and Ray of Enfeeblement.

Does this mean I can only use one of the six? Or can I use Infernal Wrath, and another of the five for the class?

Similarly, there are 4 cantrips, and 5 at will spells. I get 2 at-will powers at first level, so does that mean I get the 4 cantrips and 2 of the 5? Or only 2 of the total 9.

Thanks!

Answer 1

No

The limitation on power choices comes from within the class and is only applicable to choices offered by the class.

A tiefling wizard will get their racial power for free and cannot take cantrips as first level powers outside of the class feature because they are described as "Wizard Utility" without a level. Only class features may grant powers without a level on the power.

Beyond the racial power, the cantrips, they also get 2 wizard at-will 1's , learn 2 wizard encounter 1's and 2 'wizard daily 1`'s Of the two encounters and two dailies offered by the wizard class, they can prepare one each, as per the rules of the wizard spellbook.