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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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