SOLUTION: The diamond suit from a standard deck of 52 playing cards is removed from the deck, shuffled, and laid out in a row. Determine the number of possible arrangements. A) the first car

Algebra ->  Permutations -> SOLUTION: The diamond suit from a standard deck of 52 playing cards is removed from the deck, shuffled, and laid out in a row. Determine the number of possible arrangements. A) the first car      Log On


   

Question 861330: The diamond suit from a standard deck of 52 playing cards is removed from the deck, shuffled, and laid out in a row. Determine the number of possible arrangements. A) the first card is the ace, B)the first card is a face card.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No diamonds. Total number of cards: 39, total number of aces:3
A) 3 aces, so 3 possible choices for the first card. 38 possible choices for 2nd card, 37 for the 3rd, etc.
N=3%2A38%21
.
.
B) 9 possible face card (K,Q,J), same reasoning for the remaining cards as in A.
N=9%2A38%21