given a standard 52 card deck, how many possible hands have 2 face cards and 1 distinct, order doesn't matter (I am looking for the possible hands, not possible ways to draw those hands.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

given a standard 52 card deck, how many possible hands have 2 face cards and 1 distinct, order doesn't matter (I am looking for the possible hands, not possible ways to draw those hands.)

Expert Solution
Step 1: step 1

There are 12 face cards in a 52 card deck.

The number of ways to choose 2 face cards from these 12 face cards in the deck is = open parentheses table row 12 row 2 end table close parentheses equals fraction numerator 12 factorial over denominator 2 factorial end fraction equals fraction numerator 12 cross times 11 over denominator 2 end fraction equals 6 cross times 11 equals 66

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,