#$&*
course mth 152
If your solution to stated problem does not match the given solution, you should self-critique per instructions at
http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm.
Your solution, attempt at solution.
If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do
or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you
look at the given solution.
006. Cards
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Question: `q001. Note that there are 10 questions in this assignment.
A standard deck of cards consists of four suits, each containing 13 cards. Ten of the 13 cards in each suit are numbered 1 - 10, and
three are called the Jack, Queen and King. The card numbered 1 is also often referred to as an 'ace'. The number or label of a card
is its denomination (so the denominations are 1 (or 'ace'), 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.
The four suits are hearts, diamonds, clubs and spades.
The hearts and diamonds are red, clubs and spades are black.
Using a standard deck of cards, in how many ways is it possible to get a hand containing exactly two 5's?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
C(4,2) * C(48,3) =
6 * 17,296 = 103,776 possible ways to get 2 fives
confidence rating #$&*:
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Given Solution: In order to get a hand containing exactly two 5's we must select, without regard for order, two of the four 5's,
then we must select the remaining 3 cards from the 48 cards that are not 5's.
There are C(4,2) ways to select two 5's from the four 5's in the deck.
There are C(48,3) ways to select the 3 remaining cards from the 48 cards which are not 5's.
We must do both, so by the Fundamental Counting Principle there are C(4,2) * C(48, 3) ways to obtain exactly two 5's.
Self-critique:
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Self-critique rating: