#2 Using the letters in the word "SQUARE", How many 6-letter arrangements, with no repetitions, are...
1. Consider the word "engineering". (a.) How many distinct arrangements of the letters are there? (b.) How many distinct arrangements are there if the letter "r" must always occur before any of the vowels?
help needed with part c In how many ways can the letters of the word 'PROBLEM' be arranged in a line if letter 'B' must be first, there must be a vowel in the middle and last letter must be a consonant
In word BOOKKEEPER, how many distinct arrangements are there if the letter P must always occur before any vowels?
How many arrangements of letters in DISAPPEARANCES have ALL of the following properties: (i) there are at least two letters between each A, (ii) begins with a consonant, and (iii) the consonants are in alphabetical order. ANSWER: C(4+(10-4)-1,(10-4))xC(10,7)x1x3!/2!: THOROUGH EXPLAINATION NEEDED
Counting subsets 4. (a). How many ways are there to rearrange (all of) the letters of SPIDERMAN so that all of the consonants appear in alphabetical order (not necessarily consec- utively)? (b). How many ways are there to rearrange (all of) the letters of SPIDERMAN so that the word PRIDE appears together as a word somewhere? (c). How many ways are there to rearrange (all of) the letters of SPIDERMAN that begin and end with a vowel? (d). How many...
A person has to create an identification tag for their team. The identification tag of their team must contain exactly 7 letters. The first letter must be either a J, N, or R. The second letter must be a vowel that is not an E or U. The third letter must be a F, G, H, or M. The fourth letter must be a consonant that is not a B, D, or L. The fifth letter must be a consonant....
If you take the word ’PENNSTATE’, how many letter arrangements can you make if: (a) repeated letters are treated as different? (b) repeated letters are treated as identical? (c) the word starts with an T and repeated letters are treated as identical? (d) the word starts and ends with the same letter and repeated letters are treated as identical?
Consider a set of letters consisting of 4 different vowels (including e) and 8 different consonants (including b). How many different 5-letter sequences can be formed using 2 vowels and 3 consonants (with no repeated letters) (a) containing b? (b) beginning with b? (c) beginning with e? (d) beginning with e and containing b?
color green, red, blue and white? (b) The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter "words" are possible if there are never two consonants together and if a word must always end in a vowel and letters can be repeated? (c) In a board of directors composed of 8 people, how many ways can one chief executive officer, one director, and one treasurer be selected? (d) How many ways can a foursome of 2 men...
3. Consider rearranging the letters in the word "FATHER" (a) Find the number of 6 letter "words that can be formed by considering all possible permutations of the letters in the word "FATHER" (b) How many of these words begin with "F" and end with "R"? (c ) What is the probability of forming a six letter word that begins with F" and ends with "R" by randomly rearranging the letters in "FATHER?