How many ways are there to choose (4) cards from (16) cards?

Correct answer: 1820

This is a selection question, so combinations are used: \(\binom{16}{4}=\frac{16!}{4!\,12!}=1820\). Therefore, there are 1820 ways to choose 4 cards from 16 cards. \(43680\) is the value of the permutation \(^{16}P_4\), where the order of the cards matters; no order is asked for here. Exam tip: When a question says “choose” or “select” without mentioning order, usually use \(nCr\).