Counting Principles Answer the following problems below.I. Evaluate the followingII. Problem SolvingIf we were to form 4-digit numbers using 2, 3, 4, and 5 without repetition, then how many 4-digit numbers do we have?For instance, suppose a bakery has a selection of 20 different cupcakes, 10 different donuts, and 15 different muffins, how many different orders are there?Eight students should be accommodated in two 3-bed and one 2-bed room. In how many ways can they be accommodated?In a playground, 3 sisters and 8 other girls are playing together. In a particular game, how many ways can all the girls be seated in a circular order so that the three sisters are not seated together?In a raffle draw, Elvira won a free trip to any of two of these cities: Baguio, Cebu, Bacolod, and Zamboanga. How many choices has she had? 1. 5 P22. 15 P33. 6 C59 C54. 8 C3 CA5. In how many ways can the letters of the word REFERENCE be arranged?6C4

Since you have posted a question with multiple subparts according to guildlines I will solve first…

Answered: If we were to form 4-digit numbers…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Counting Principles

Answer the following problems below.

I. Evaluate the following

II. Problem Solving

If we were to form 4-digit numbers using 2, 3, 4, and 5 without repetition, then how many 4-digit numbers do we have?
For instance, suppose a bakery has a selection of 20 different cupcakes, 10 different donuts, and 15 different muffins, how many different orders are there?
Eight students should be accommodated in two 3-bed and one 2-bed room. In how many ways can they be accommodated?
In a playground, 3 sisters and 8 other girls are playing together. In a particular game, how many ways can all the girls be seated in a circular order so that the three sisters are not seated together?
In a raffle draw, Elvira won a free trip to any of two of these cities: Baguio, Cebu, Bacolod, and Zamboanga. How many choices has she had?