SOLUTION: How do I solve this problem? Directions: Find the number of possiable 5-card hands that contain the cards specified. The cards are taken from a standard 52- card deck. Proble

Algebra ->  Probability-and-statistics -> SOLUTION: How do I solve this problem? Directions: Find the number of possiable 5-card hands that contain the cards specified. The cards are taken from a standard 52- card deck. Proble      Log On


   



Question 447346: How do I solve this problem? Directions: Find the number of possiable 5-card hands that contain the cards specified. The cards are taken from a standard
52- card deck.
Problem: 1 ace and 4 cards that are not aces.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve this problem? Directions: Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard
52- card deck.
Problem: 1 ace and 4 cards that are not aces.
-----------------------
# of ways to pick 1 ace: 4
--
# of ways to pick 4 non-ace cards:
48C4 = (48*47*46*45)/(1*2*3*4) = 194580
---
Total # of 5 card hands with 1 ace and 4 non-ace cards
= 4*194580 = 778,320 hands
================================
Cheers,
Stan H.
=========