I need help with this question which is on Mathmatical struc

I need help with this question which is on Mathmatical structure for computer science 7th edition book.

Concern a 5-card hand from a standard 52-card deck. A standard deck has 13 cards from each of 4 suits (clubs, diamonds, hearts, spades). The 13 cards have face value 2 through 10, jack, queen, king, or ace. Each face value is a \"kind\" of card. The jack, queen, and king are \"face cards.\"

How many hands contain exactly 2 spades and exactly 2 hearts?

Solution

In the following, notation \"C(n,r)\"indicates number of COMBINATIONS
for choosing \"r\" objects from \"n\" distinct objects withOUTreplacement
where {C(n,r) = (n!)/{(n - r)!*(r!)}

{HandsWith 2 Spades & 2 Hearts} =
                        = C(13, 2)*C(13, 2)
                        =6048

I need help with this question which is on Mathmatical structure for computer science 7th edition book. Concern a 5-card hand from a standard 52-card deck. A st

Get Help Now

Submit a Take Down Notice

Tutor
Tutor: Dr Jack
Most rated tutor on our site