Posted by **CL** on Tuesday, April 13, 2010 at 8:43pm.

Each hand in the game of bridge has 13 cards dealt from a regular deck of 52 cards.

a) How many different bridge hands are possible?

b) How many different bridge hands have all pour aces in them?

c) How many different bridge hands have no aces in them?

I figured out part A, but am confused about the rest..

52nCr13 = 6.35 x 10^11 hands

- math - combinations -
**Reiny**, Tuesday, April 13, 2010 at 9:12pm
a) choose 13 from 52 = C(52,13) = 6.35 x 10^11

you had that

b) you have the four aces, that leaves 9 other cards from the remaining 48

so C(48,9) = 1677106640

c) imagine the deck with no aces, that would be 48 to choose from, but you still want 13 cards

C(48,13) = 1.929x10^11

## Answer This Question

## Related Questions

- math - In a card game using a normal deck of playing cards containing 52 cards, ...
- data management g12 - a bridge hand consists of 13 cards. how many bridge hands ...
- math - Combination - A bridge hand consists of 13 cards. How many bridge hands ...
- Finite Math - A "hand" consists of a set of 5 cards selected from an ordinary ...
- COMBINATION!!MATH!!!hurryyy!!! - Cards are drawn at random from a 52-card deck. ...
- Calculus - Joe dealt 20 cards from a standard 52-card deck, and the number of ...
- permutation and combination - The game of euchre uses only the 9s, 10s, jacks, ...
- Math - The game of euchre uses the 10s, jacks,queen,kings and aces from a ...
- Gr. 12 Data Management - In playing poker, the likelihood of being dealt a ...
- Probability - In the card game bridge, each of 4 players is dealt a hand of 13 ...

More Related Questions