In​ 5-card poker, a straight is five cards of consecutive denominations​ (not all the same​ suit). how many ways are there to get a​ straight?

Respuesta :

frika
Straight in one suit may be such:

A,2,3,4,5
2,3,4,5,6
3,4,5,6,7
4,5,6,7,8
5,6,7,8,9
6,7,8,9,10
7,8,9,10,J
8,9,10,J,Q
9,10,J,Q,K
10,J,Q,K,A,

totally for one suit 10 ways of forming straight. You also have 4 suits (Club, Hearts,...), so you can choose each card from four possible suits and can form 4^5·10=10240 straights in all suits.

Answer: 10240 ways to get a​ straight