1. A password consists of 10 characters (using only upper or lowercase letters or digits 0-9). a. How many such passwords are possible? b. What is the probability of randomly guessing such a password with one guess? Write the answer as a fraction and as a decimal in scientific notation.

Q: Use permutations to solve. From a cooler with 6 different kinds of soda, 4 are selected for 4…

A: nPr = n!/(n-r)!

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: In how many ways can the letters in the word TENNESSEE be arranged?

A: Introduction: The term permutation refers to a mathematical calculation of the number of ways a…

Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

A: Given numbers  277,728,788 Here we need to evaluate many different 9-digit numbers that can form by…

Q: runners are in a race. How many different ways can they finish in 1 , 2 st nd, and 3rd place?

A:

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: There are 52 cards in an ordinary deck of playing cards. How many possible ways of shuffling are…

A: Since, we know that there are 52 cards in an ordinary deck of playing cards.Our aim is to find the…

Q: Solve the problem. How many different five-card hands can be dealt from a deck that has no face…

A: For the given problem, the total number of cards in the pack of cards is n=40The number of cards…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

A:

Q: A uniform store sells polo shirts for companies in 6 different colors, 3 types of materials, 2…

A: There are 6 different colors, 3 types of material, 2 sleeve sizes, and 12 sizes (6 for men, 6 for…

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

Q: How many permutations of the 32 letters can be made?

A:

Q: A certain lottery requires players to select 6 different numbers, in any order, from 1 to 46…

A: A certain lottery requires players to select 6 different numbers in any order from  1 to 46…

Q: An industrial/organizational psychologist has been consulting with a company that runs weekend…

A: Given: Sample size (n)=81Sample mean=x¯=8.7Sample standard deviation=s=4.1Population mean=μ=7.4.

Q: How many different permutations of the letters in ALASKA are possible?

A: Total number of letters in ALASKA are 6. And there are three A's. i.e. n=6 and r=3

Q: How many distinct permutations can be made from the letters of the word MATHEMATICS?

A:

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not…

A:

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: A particular state's license plates have 7 characters. Each character can be a Cap How many license…

A: Introduction: Permutations are referred to as arrangements, while combinations are referred to as…

Q: In how many distinct ways can a 11​-digit number be made using five 6​'s and six 5​'s?

A: To find- Ways by which 11 digit number be made.

Q: In how many ways can we arrange the letters in the word T

A: Given word is "TOOTH". The letters are T, O, O, T, H. The number of letters is 5. And the letter "O"…

Q: How many poker “hands” are there of the form:         ?

A: Given problem Given that

Q: C. How many 4-digits number can be formed out of 0, 1, 2, 4, 6, 8, 9 to construct an odd number with…

A:

Q: To sign-in an account, suppose 0' to 9' numbers and 'A' to 'Z' alphabets with upper case and lower…

A: Total no. of numbers=10 Total no. of alphabets=52 (26 Upper case and 26 lower cases) No. of…

Q: in how many ways could members of the following club lineup all seven members for a photograph? N=…

A:

Q: Answer the following counting situations a. How many variations in first-, second-, and third-place…

A: The permutations without replacement is used to find the number of ways of obtaining a set of…

Q: how many 3-digit number we can form using 10 digits (0,1,2,3.......,8) if no repetition is allowed

A: The first digit have 9 choices (digits 1 -9) as zero cannot be the first digit.There will be 9…

Q: Suppose a dice is thrown and a coin is then tossed. How many different outcomes are there if the…

A: Fundamental counting principle: If an event can occur in m ways and an other independent even can…

Q: 1 A = then IAll2 = (use 2-digit rounding) -3 2 Select one: а. 3.83 b. 5.41 c. 14.66 d. 29.31

A:

Q: 11. Explain what is a factorial and show an example of how to compute it.

A: A factorial of a number is the product of all positive integers less than or equal to the given…

Q: What is the missing number (as indicated by the blank line) and the 12th number in the series? 1, 1,…

A: Given that the series 1,1,2,3,5,8,13_,34,55,...