The number of unique combinations that can be formed from a standard deck of 52 cards taken 2 at a time is given by the formula for combinations, which is nCr = n! / (r!(n-r)!), where n is the total number of items to choose from, r is the number of items to choose, and ! represents the factorial function. In this case, n = 52 and r = 2.
52C2 = 52! / (2!(52-2)!) = 52! / (2!50!) = (52 x 51) / 2 = 1326 unique combinations of two cards from a 52-card deck.
Since one combination is displayed every second and each choice consists of two different cards, it takes 2 seconds to display a single combination. Therefore, it would take 2 x 1326 = 2652 seconds to display every combination.
To convert seconds to minutes, we divide by 60 (since there are 60 seconds in a minute):
2652 seconds / 60 seconds/minute = 44.2 minutes
Therefore, it would take approximately 44.2 minutes to display every combination of two cards from a standard deck of 52 cards if a random card choice is displayed every second.
