How many arrangements are there of the word “GRANDMASTER”?
a) How many arrangements are there of the word “GRANDMASTER”? b) Suppose a lottery consists of picking 6 different numbers from 1 to 52. (The order you pick them doesn’t matter). How many possible lottery tickets are there?
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?
In word BOOKKEEPER, how many distinct arrangements are there if the letter P must always occur before any vowels?
#2 Using the letters in the word "SQUARE", How many 6-letter arrangements, with no repetitions, are possible if, a) there is no any restriction, b) the first letter is a vowel, c) vowels and consonants are alternate, beginning with 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?
How many ways can the letters of the word KITCHEN be arranged? How many ways can the letters of the word KITCHEN be arranged if the letters H, E, and N must remain next to each other in the order HEN? If all arrangements of the letters of the word KITCHEN are equally likely, what is the probability that an arrangement will have the letters H, E, and N next to each other in the order HEN? How many ways...
1. (a) How many distinguishable arrangements are there of the letters in BOOKKEEPER? (b) How many if the P and the R must be together? (C) How many if the B must be at the beginning and the R at the end?
How many different letter arrangements can be made from the following words (the arrangements don’t need to be meaningful)? a) WORDS b) DIFFERENT
How many different letter arrangements can be made from the following words (the arrangements don’t need to be meaningful)? Letters are not unique (e.g. F1 is the same thing as F2) a) WORDS b) DIFFERENT
If there are 4 chairs and 5 people, how many possible combinations of seating arrangements are there? In this case, the order of people in the chairs does not matter. If there are 4 chairs and 5 people, how many possible permutations of seating arrangements are there? In this case, the order of people in the chairs does matter.