To determine how many ways ten cards can be chosen from a standard deck of 52 cards, we use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( n ) is the total number of cards, and ( k ) is the number of cards to choose. For this scenario, it would be ( C(52, 10) = \frac{52!}{10!(52-10)!} ). This calculation gives us the total number of combinations of ten cards from the deck, which equals 102,722,781.
2,4,6,8,10 are even cards of a deck. There are 52 cards in all. Even cards may be chosen in 52C5 = 52x51x50x49x48 / 5x4x3x2x1 = 2,598,960 ways.
There are 26 red cards and 26 black cards. 3 red cards can be chosen in 26C3 ways 2 black cards can be chosen in 26C2 ways The required answer is 26C3 X 26C2 ways. Answer: 1067742 S Suneja
52!
There are 65,780 ways.
3 ways
2,4,6,8,10 are even cards of a deck. There are 52 cards in all. Even cards may be chosen in 52C5 = 52x51x50x49x48 / 5x4x3x2x1 = 2,598,960 ways.
There are 26 red cards and 26 black cards. 3 red cards can be chosen in 26C3 ways 2 black cards can be chosen in 26C2 ways The required answer is 26C3 X 26C2 ways. Answer: 1067742 S Suneja
In a standard deck of cards there is one and only one ace of diamonds.
52!
There are 65,780 ways.
3 ways
There are 286 ways.
There are 26 different ways of selecting a black card from a standard deck of 52 cards.
6
There are 1287 ways.
24 ways.
If the card is drawn at random, there are 25 ways (counting Aces as face cards).