3. Evaluate a. 12! b. P(52,5) c. C(38,10)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...
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Question
1. If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of the following:
a. A straight flush?
b. A straight (but not a straight flush)?
c. Four of a kind?
d. A full house?
e. Two pair?
2. A mathematics professor uses a computerized test bank to prepare her final exam. If 25 different problems are available for the first three exam questions, 40 different
problems are available for the next five questions, and 30 different problems are available for the last two questions, how many different ten-question exams can she prepare
if:
a. Assume order of the questions is important
b. Assume order of the questions is not important
3. Evaluate
a. 12!
b. P(52,5)
c. C(38,10)
Directions:
To evaluate n!, in a cell where you want the answer to appear, enter FACT(n) and press Shift-Enter.
To evaluate P(n.r), in a cell where you want answer to appear, enter =PERMUT(n) and press Shift-Enter.
To evaluate C(n), in a cell where you want answer to appear, enter COMBIN(n) and press Shift-Enter.
Transcribed Image Text:1. If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of the following: a. A straight flush? b. A straight (but not a straight flush)? c. Four of a kind? d. A full house? e. Two pair? 2. A mathematics professor uses a computerized test bank to prepare her final exam. If 25 different problems are available for the first three exam questions, 40 different problems are available for the next five questions, and 30 different problems are available for the last two questions, how many different ten-question exams can she prepare if: a. Assume order of the questions is important b. Assume order of the questions is not important 3. Evaluate a. 12! b. P(52,5) c. C(38,10) Directions: To evaluate n!, in a cell where you want the answer to appear, enter FACT(n) and press Shift-Enter. To evaluate P(n.r), in a cell where you want answer to appear, enter =PERMUT(n) and press Shift-Enter. To evaluate C(n), in a cell where you want answer to appear, enter COMBIN(n) and press Shift-Enter.
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