### Educational Exercise: Exploring Word Arrangements**Problem Statement:**3. While conducting research on marmosets, an intricate journey through Wikipedia led the researcher to develop an interest in the religious politics of 18th-century England. Consider the challenge of arranging the letters in the word "ANTIDISESTABLISHMENTARIANISM," taking into account the identical letters. How many unique ways can this arrangement be accomplished?**Discussion:**This problem involves calculating the number of distinct permutations of the letters in "ANTIDISESTABLISHMENTARIANISM." This involves both understanding the overall count of letters in the word and determining the frequency of each letter. Using principles from combinatorics, students are tasked with computing permutations while considering repeated letters, which requires applying factorials for both total and repeated counts. This exercise not only reinforces knowledge of historical context but also enhances skills in mathematical problem-solving.

Total number of letters=28 , which includes A N T I D S E B L H M R 4 3 3 5 1 4 2 1 1 1 2 1…

3. While they were researching marmosets, a particularly convoluted walk through Wikipedia caused the researcher to develop a fascination with the politics of religion in England in the 18th century. Taking into account identical letters, how many ways are there to arrange the letters in the word ANTIDISESTABLISHMENTARIANISM?

3. While they were researching marmosets, a particularly convoluted walk through Wikipedia caused the researcher to develop a fascination with the politics of religion in England in the 18th century. Taking into account identical letters, how many ways are there to arrange the letters in the word ANTIDISESTABLISHMENTARIANISM?

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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