3. In the layout of a printed circuit board for an electronic product, 12 different locations can accommodatechips.(a) If five different types of chips are to be placed on the board, how many different layouts arepossible?(b) If the five chips that are placed on the board are of the same type, how many different layoutsare possible? (1

Answered: Image /qna-images/answer/14ed9091-2c75-4a66-95ac-cdeed27194de.jpg

Answered: (a) If five different types of chips…

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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Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress shirts for a trip. (a) How many different outfits can Jack make with these items? (b) If Jack were to bring along 4 sweaters so that he could wear either a dress shirt or a sweater or he could wear both a dress shirt and a sweater, how many outfits could Jack make? (a) Jack can make (Type a whole number.) different outfits with these items. (b) Jack can make different outfits with these items. (Type a whole number.)
A group contains n men and n women. How many ways are there to arrange these people in a row if the men and women alternate?
DNA (deoxyribonucleic acid) is the basic building block of reproduction in living things. A DNA chain is a sequence of chemicals called bases. There are four possible bases: thymine (T), cytosine (C), adenine (A), and guanine (G). (a) How many four-element DNA chains are possible? DNA chains (b) How many n-element DNA chains are possible? DNA chains (c) A human DNA chain has p = 2.1 x 1010 elements. How many human DNA chains are possible? (Enter your answer in terms of p.) DNA chains
Standard automobile license plates in a state display 3 digits (from 0-9), followed by 4 letters (from A to Z).How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)There are license plate combinations.
An instructor gives an exam with twenty questions. Students are allowed to choose any fifteen questions to answer. (a) How many different choices of fifteen questions are there? (b) Suppose nine questions require coding and eleven do not. (i) How many groups of fifteen questions contain seven that require coding and eight that do not? (ii) How many groups of fifteen questions contain at most eight that require coding? (c) Suppose the exam instruction specifies that at most one of questions 1 and 2 MAY BE included among the fifteen. How many different choices of fifteen questions are there? (d) Suppose the exam instruction specifies that either both questions 1 and 2 are to be included among the ten or neither is to be included. How many different choices of ten questions are there?
In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter.
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(a) If five different types of chips are to be placed on the board, how many different layouts are possible? (b) If the five chips that are placed on the board are of the same type, how many different layouts are possible?