I need the answer as soon as possible [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codescan be generated? (b) 3-distinct-letters codes that start with the letter E can begenerated? (c) 4-distinct-letters codes can be generated if the order of the lettersdoes not matter?

Given: There are 7 letters A, B, C, D, E, F, G

Answered: [Q1] From the letters {A, B, C, D, E,…

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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Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.
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I bought a new gas lawn mower the other day. This new mower mows faster than the old electric (environmental) one. Why, you ask? It is because the old mower cut a 21 inch path, while the new one cuts a 22 inch path. So how much time did I save? Look at some facts. My lawn is a rectangle measuring 150 feet by 105 feet I mow the lawn in strips and always in the same direction (length or width) My walking speed is 120 feet/minute It takes 5 seconds to turn around after each strip How much time did I save if I mow back and forth along the width or if I mow back and forth along the length? Pick one and figure it out. My neighbor does not like minutes the noise it makes, but I do!
Direction: Analyze the given problem and show your complete and detailed solution using multiplication priniciple. A special plate number is made of three letters in the English Alphabet followed by two-digit numbers. How many plate numbers are possible if (a) the digits and letters can be repeated in the same plate number (b) the letters and digits cannot be repeated in the same plate number.
samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already gone while asleep. How much of the entire trip was Samuel asleep?
In between each step you take in the problem, could you please write a few sentences explaining it.
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[Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated? (b) 3-distinct-letters codes that start with the letter E car generated? (c) 4-distinct-letters codes can be generated if the order of the let does not matter?