6. Suppose a teacher has a class of 30 students. One day, he forgets to take roll butnotices that there were an even number of students when they lined up two by two.Later when he split them into groups of 5, he found that one group was left with only3 students. Then when he split them into groups of 3, there was one student left out.How many of the 30 students were present that day?

The problem is asking us to find the number of students present in the class that day. We know that…

Answered: 6. Suppose a teacher has a class of 30…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a volleyball training session, the coach needs to have 10 players standing in a row. Among these 10 players, there are three Grade 9, four Grade 7, one Grade 8 and two Grade 10 students. How many ways can they be arranged in a row?
PART IV. Solve the following problems. You have eight books and are going to put four on a bookshelf. How many different ways can the books be ordered on the bookshelf? 1. You have seven books and are going to randomly select three to read. How many different combinations of books might you select?
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6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?
Suppose a box contains 3 red balls and 3 blue balls. You pick balls at random from the box, one at a time. When you pick a red ball, you keep it. When you pick a blue ball, you return it to the box. On average, how many times will you have to pick a ball from the box until you have picked out all three red balls?
4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10 people be seated in them?
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