A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called 'hearts' and 'diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called 'spades' and 'clubs') are black. The cards in the deck are placed in random order (usually by a process called 'shuffling'). In how many ways can we pick two different cards

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which k items can be selected from n different items without replacement and  irrespective of the order.

Permutation is a mathematical procedure to determine the number of arrangements of k items from n different items respective of the order of arrangement.

In this case we need to select two different cards from a pack of 52 cards.

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.