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.

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