Friday

February 27, 2015

February 27, 2015

Posted by **Zoe** on Tuesday, February 24, 2009 at 8:15pm.

(1) How many different hands contain exactly 4 diamonds? = 27885

(2) How many different hands contain exactly 4 cards of the same suit (any of the four suits)?

(3) How many different hands contain cards of exactly one suit?

Can someone help me figure out the last two questions?

- Finite Math -
**Reiny**, Tuesday, February 24, 2009 at 10:00pmso you want 4 out of the 13 diamonds ---> C(13,4)

then one more card from the 39 non-diamonds --> C(39,1)

so 715x39 = 27885

2. wouldn't the answer to 1. which was for diamonds be the same for the clubs, the same for the hearts, and the same for the spades ???

so 4x27885

3. I assume the suit would be specified.

If not, then for each specific suit is would be C(13,5) = 1287 , that is, all 5 cards come from the same 13 cards.

- Finite Math -
**Zoe**, Tuesday, February 24, 2009 at 10:43pmThanks Reiny!!!

**Answer this Question**

**Related Questions**

Statistics - A standard pack of 52 cards consists of 4 suits, hearts, diamonds, ...

Maths - A standard pack of 52 cards consists of 4 suits, hearts, diamonds, clubs...

Algebra - How many hands of 5 cards can be made from a standard deck of cards ...

Math - A standard deck of cards contains 52 cards. Of these cards there are 13 ...

Math Probabilities - A standard deck of cards contains 52 cards. Of these cards...

math - In a card game using a normal deck of playing cards containing 52 cards, ...

Math - A standard deck of cards contains 52 cards. Of these cards there are 13 ...

math - combinations - Each hand in the game of bridge has 13 cards dealt from a ...

Probability - An ordinary deck of playing cards has 4 suits, with 13 cards of ...

Gr. 12 Data Management - In playing poker, the likelihood of being dealt a ...