1.how many different permutations can you make with the letters in the word s e v e n t e e n ?
2.a teacher has a set of 12 probelms to use on a math exam. the teacher makes different versions of the exam by putting 10 questions on each exam. how many different exams can the teacher make?
3.how many arrangements of the letter o l i v e can you make if each arrangement must use three letters?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

1.
SEVENTEEN = EEEE NN S T V
So there is one group of 4 letters, one of 2 letters, and three of 1 letter for at total of 9 letters.
The number of permutations is
P(9,9)/(4!2!1!1!1!)
=9!/(4!2!1!1!1!)
2. Think of the two questions she can leave out. She has a choice of 12 for the first one, and 11 for the second. Thus she can make 12*11=132 different exams, if the order of the questions do not matter.
If the order of the questions matters, then we choose the ten questions one after another, which gives
12*11*10*9*8*7*6*5*4*3
=12!/2!
different exams.
3. How many choices do you have for choosing the first of three letters? (5)
How many for the second? (4)
How many for the third? (3)
How many arrangements in all? 👍
 👎
 ℹ️
 🚩
Answer this Question
Related Questions

reading
What is the definition of the word prefix?(1 point) A.**word part added at the beginning or end of a word root that changes the word’s meaning** B.a basic word part that often comes from Greek or Latin C.an affix added to the end of a word root D.an

probability
4 letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : Preview (b) No letter can be repeated in a word. Your answer is :

Computer
1: A thesaurus is best used to ________. A Help find the meaning or a word b help find a word that means the same or a similar definition as another word c help find the spelling of a word d help find the pronunciation of a word 2: Using a synonyms can

la
1. Which first step should readers take when they encounter an unfamiliar word? (1 point) Find a synonym for the word in a thesaurus. Use context clues near the word. Replace the unfamiliar word with a familiar word. Look up the word in a dictionary. 2.

math
How many 6letter words can be made from the letters WASTEFUL if repetition of letters is allowed?

Math
List out the elements of the set "The letters of the word Mississippi"

stats
A common computer programming rule is that names of variables must be between one and eight characters long. The first character can be any of the 26 letters, while successive characters can be any of the 26 letters or any of the 10 digits. For

Language
What does denotation mean? The sound of a word when you read it The tone of a word in writing The dictionary meaning of a word The set of ideas associated with a word •• Correct me

Math
Nell made a secret code. Each code word has 2 letters. Each word begins with a consonant and ends with a vowel. How many code words can Nell make with 3 consonants and 2 vowels?

English
The only acceptable way to divide words at the end of a line is: A. to let the computer decide. B. before the last three letters. C. between syllables. D. after the first three letters. C

math
On August 13, the Bryer family received 23 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they

Supportive Learning Environment
Scott is just beginning to learn the names for the letters of the alphabet. Which of the following would be an example of the teacher scaffolding his learning? A. The teacher tells Scott, "You need to learn all your letters, and then you'll be ready to

math
Find the number of the permutations with the letters of the word TRIANGLE.

math
Consider the sets. A = {distinct letters in the word keep} B = {13} C = {k, e, p} D = {6 + 1} E = {seven} F = {7} (a) What is the cardinality of each set?

math
Find the number of distinguishable permutations of the given letters ``AAABBBCCC''. If a permutation is chosen at random, what is the probability that it begins with at least 2 A's?

math
What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has four letters followed by two numerals followed by two letters? (Round to the nearest whole percent.)

English
Can someone please check my answers for this? Thanks! 1. What is the latter tone of "The Morning of June 28, 1949 and 'The Lottery'"? a. offended and angry b. taken aback and sarcastic*** c. surprised and confused 2. Which of the following words is an

math please check my work
a license plate has 2 letters followed by 4 digits.how many license plates are possible if the digits and letters can be repeated? f8 g92 h676000 i6760000 i think it is i(the 4th one) am i correct thank you for helping me

algebra
On October 10, the Miller family received 31 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did

Probability
You are given the set of letters ( A, B, C, D, E ). What is the probability that in a random fiveletter string (in which each letter appears exactly once, and with all such strings equally likely) the letters A and B are next to each other?
Still need help?
You can ask a new question or browse existing questions.