Shuffle 12 face cards; select 3 from pile; find number of

[teacher_wanna_be]

Given: A standard deck of playing cards contains a total of 52 cards (26 red cards and 26 black cards). There are 4 aces and 4 cards of each number 2 through 10 (2 red and 2 black). There are 12 face cards (4 jacks, 4 queens, and 4 kings). Assume the cards have been shuffled (randomized).

Part C: Separate the 12 face cards from the rest of the deck. Assume that the face cards have been shuffled. Select 3 cards from the pile of face cards. Answer each question in the table below and show how you derive the solution. Tell whether each action is a combination or a permutation and why.

Table for Part C:

Action/ Derivation and solution (please show your work) / Combination or permutation / Why?

How many different arrangements can be made by selecting 1 of each face card (i.e., jack, queen, king) from the pile?

How many ways are there of selecting the queen of clubs, then the king of diamonds, and then the jack of hearts from the pile?

How many different selections of 3 cards can be made from 12 face cards?

 

[stapel]

What are your thoughts? What have you tried? How far did you get? Where are you stuck?

(As currently posted, it looks as though you're waiting for somebody to complete the assignment for you, which of course would be cheating and is surely not what you meant. But we can't know where you're having difficulty until you show us your work and reasoning so far.)

Please be complete. Thank you!

Eliz.