How many 11-card hands are possible with a 23-card deck?

That would be the number of combinations  of 11 from 23.

= 23C11  =      23! /  (12! * 11!)   =   1,352,078  ANswer

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.