Question

what is the number of choosing 6 cards from a pack pf 52 card if six of the cards are of same suit​

Answer 1

Answer:

There are 13 cards in each suit and 52 cards and 4 suits in a deck. and there remain 48 cards in a deck and Remaining 2 cards can be chosen in 48C2 ways. So 13*13*13*13* 48C2 or 13^4* 48C2. Thus 6 cards represent all suits.

Answer 2

Answer:

P(A∩B)=(136)+(136)(526)

Step-by-step explanation:

There are two possibilities to have the same suit: six cards from clubs or spades. Both cases have (136) combinations. Probability of A∩B is then the ratio P(A∩B)=(136)+(136)(526)

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There are 13 cards in each suit and 52 cards and 4 suits in a deck. and there remain 48 cards in a deck and Remaining 2 cards can be chosen in 48C2 ways. So 13*13*13*13* 48C2 or 13^4* 48C2. Thus 6 cards represent all suits.