We are making 5-letter words from the set of letters a, b, c, d, e, f ..., in such a way that we have exactly thefirst 5 letters available so that we use all letters.that do not contain the sub-a. Howmany 5-letter wordscan we make from the letters without repeatsword "bad" in consecutive letters?a. How many words don't contain the subword “bad” in not-necessarily-consecutive letters (but in order)?->→

Here we will use permutation /arrangement and combination / selection Number of way r object can be…

Answered: We are making 5-letter words from the…

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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We want to build 9 letter "words" using only the first n = alphabet. For example, if n (Recall, words are just strings of letters, not necessarily actual English words.) 6 letters of the 5 we can use the first 5 letters, {a, b, c, d, e} How many of these words are there total? Preview How many of these words contain no repeated letters? Preview How many of these words start with the sub-word "ade"? Preview How many of these words either start with "ade" or end with "be" or both? Preview How many of these words do not contain the sub-word "bed"? Preview
Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single bookshelf. How many distinguishable ways can Bob do this?
How many nonsense words of 3 letters can be formed from the letters c, d, e, f andg ifa. repetition of letters is allowed?b. repetition of letters is not allowed?
How many strings of ten English letters are there that start with AB and end with Y Z and contain at least one vowel if letters can be repeated ?How many ways are there for 8 men and 5 women to stand in a line so that no two women stand next to each other ?How many ways are there for 5 men and 7 women to stand in a line so that all women stand
What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to the second, 17 to the third, 21 to the fourth, etc. How many jelly beans will the machine give out if the machine will receive its 35th coin?How many has the machine given out after 35 coins are put into the machine?
How many different five-letter code words are possible from the first ten letters of the alphabet if the first letter cannot be a vowel and adjacent letters must be different.
In how many different ways can 4 passengers be seated in an airplane if each passenger can select any of 7 vacant seats?
A kindergarten teacher has 9 books about a holiday. In how many ways can she select 3 of the books to read to her class in the week before the holiday?
An employee group requires 6 people be chosen for a committee from a group of 16 employees. The employee group has 6 women and 10 men. How many ways are there where 3 of the people chosen for the committee are women and 3 people chosen for the committee are men? 2400 The committee requires that exactly 2 people from Human Resources serve on the committee. There are 5 people in Human Resources. How many ways are there where exactly 2 of the people chosen for the committee are from Human Resources?
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