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A First Course in Probability

Sheldon M. Ross

$Math Studyset Vaia Explanations$ Math

9th Edition · 432 pages

ISBN: 9780321794772

Chapter 1: Q. 1.1 (page 15)

(a) How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers? (b) Repeat part (a) under the assumption that no letter or number can be repeated in a single license plate

Short Answer

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Step by step solution

01

Step 1. part (a) Given information

Here we have to find how many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers

02

Step2.Description of explaining the possibility of the first 2 places are for letters and the other 5 for numbers

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Most popular questions from this chapter

Two experiments are to be performed. The first can result in any one of m possible outcomes. If the first experiment results in an outcome $i,$ then the second experiment can result in any of $n_{i}$ the possible outcomes, i = 1, 2, ..., m. What is the number of possible outcomes of the two experiments?

Present a combinatorial explanation of why

$(\begin{matrix} n \\ r \end{matrix}) = (\begin{matrix} n \\ r, n - r \end{matrix})$

How many vectors $x_{1}, . . ., x_{k}$ are there for which each role="math" localid="1647853392605" $x_{i}$ is a positive integer such that role="math" localid="1647853435585" $1 \leq x_{i} \leq n$ androle="math" localid="1647853511159" $x_{1} < x_{2} < \cdot \cdot \cdot < x_{k}$ ?

Give a combinatorial explanation of the identity

$(\begin{matrix} n \\ r \end{matrix}) = (\begin{matrix} n \\ n - r \end{matrix})$

In how many ways can $r$ objects be selected from a set of $n$ objects if the order of selection is considered relevant?

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