If 2 cards are randomly drawn from a well shuffled deck how

If 2 cards are randomly drawn from a well shuffled deck, how many different outcomes (combinations of the two cards) are possible if: The order is not considered? (i.e. drawing 10 of spades first and 10 of hearts second is considered the same outcome as drawing the 10 of hearts first and the 10 of spade second). The order is considered.

Solution

Here,

If we consider the two cards are drawn at once

then the no. of outcomes if the order is considered will be 52C2=1326

and the no. of outcomes if the order is considered will be 52P2=2652