Pick an interesting and original positive integer k with 10 ≤ k. Also pick an interesting and original positive integer n with n ≥ 30 and n > k. (a) How many permutations of size k of n objects are there? Explain how you compute your answer. (b) How many combinations of size k of n objects are there? Explain how you compute your answer.
Pick an interesting and original positive integer k with 10 ≤ k. Also pick an interesting and original positive integer n with n ≥ 30 and n > k. (a) How many permutations of size k of n objects are there? Explain how you compute your answer. (b) How many combinations of size k of n objects are there? Explain how you compute your answer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Pick an interesting and original positive integer k with
10 ≤ k. Also pick an interesting and original positive integer n with
n ≥ 30 and n > k.
(a) How many permutations of size k of n objects are there? Explain
how you compute your answer.
(b) How many combinations of size k of n objects are there? Explain
how you compute your answer.
(c) Suppose a bin contains n balls numbered 1, 2, . . . , n and 3 are
selected at random. What is the probability that the the three
balls are all numbered between 5 and k (inclusive of the numbers
5 and k).
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