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7. Solve the following counting and probability problems. (a). How many permutations of the letters in word SUBBOOKKEEPERS have a vowel in the first position and a consonant in the last? (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at least two classes? (c). What is the probability that a five-card poker hand from a standard deck has one pair of non-face cards and one pair of face cards?

7. Solve the following counting and probability problems. (a). How many permutations of the letters in word SUBBOOKKEEPERS have a vowel in the first position and a consonant in the last? (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at least two classes? (c). What is the probability that a five-card poker hand from a standard deck has one pair of non-face cards and one pair of face cards?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following counting and probability problems. (a). How many permutations of the letters in word SUBBOOKKEEPERS have a vowel in the first position and a consonant in the last? 7. (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at least two classes? (c). What is the probability that a five-card poker hand from a standard deck has one pair of non-face cards and one pair of face cards?
Transcribed Image Text:Solve the following counting and probability problems. (a). How many permutations of the letters in word SUBBOOKKEEPERS have a vowel in the first position and a consonant in the last? 7. (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at least two classes? (c). What is the probability that a five-card poker hand from a standard deck has one pair of non-face cards and one pair of face cards?
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