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5) In how many ways can the letters of the word ORANGE be arranged so that the constants occupy only the even positions?

5) In how many ways can the letters of the word ORANGE be arranged so that the constants occupy only the even positions?

Advanced Engineering Mathematics
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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Could you please help me with question number one part B. I know the answer to part a is 120 ways. This is discreet mathematics II . Thank you
Worksheet #2 Math 3303- Spring 2022 1. a) In how many ways can the letters of the word ORANGE be arranged? b) In how many ways can the letters of the word ORANGE be arranged so that the constants occupy only the even positions? 2. a) In how many ways can the letters of the word MATH be arranged? b) In how many ways can the letters of the word MATHEMATICS be arranged? 3. There are six men and five women in a room. We are going to choose five people from the room. a) How many ways can we choose 3 men and two women from the room? b) How many ways can we choose at least four women from the room? 4. a) How many 5 card poker hands are there with 2 hearts and 3 spades? b) How many 5 card poker hands are there with a four of a kind?
Transcribed Image Text:Worksheet #2 Math 3303- Spring 2022 1. a) In how many ways can the letters of the word ORANGE be arranged? b) In how many ways can the letters of the word ORANGE be arranged so that the constants occupy only the even positions? 2. a) In how many ways can the letters of the word MATH be arranged? b) In how many ways can the letters of the word MATHEMATICS be arranged? 3. There are six men and five women in a room. We are going to choose five people from the room. a) How many ways can we choose 3 men and two women from the room? b) How many ways can we choose at least four women from the room? 4. a) How many 5 card poker hands are there with 2 hearts and 3 spades? b) How many 5 card poker hands are there with a four of a kind?
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