(a) A bank’s safe has 5 dials each of which can be set to a number...

(a) A bank’s safe has 5 dials each of which can be set to a number from 0 to 36 (so each dial has 37 possible settings).

i. How many different ways can the 5 dials be set?

ii. How many settings are there if no two dials may be set to the same number?

iii. How many possible settings are there if all the numbers must be even (count 0 as even), and duplicate numbers are permitted?

iv. Re-do the previous question, but this time with no duplicates allowed.

(b) Suppose the bank gets a new safe also with 5 dials, but each dial is numbered as follows: Dial 1 goes from 0 to 10 Dial 2 goes from 0 to 12 Dial 3 goes from 0 to 20 Dial 4 goes from 0 to 25 Dial 5 goes from 0 to 35

i. How many different ways can the 5 dials be set?

ii. How many settings are there if no two dials may be set to the same number?

iii. How many possible settings are there if all the numbers must be even (count 0 as even), and duplicate numbers are permitted?

iv. Re-do the previous question, but this time with no duplicates allowed.

Expert Solution

!! PLEASE UP VOTE WITH MANY THUMBS UP !!

Colby Messinger answered 1 year ago

A lock consists of 2 dials, where each dial has 6 letters. What is the probability...

A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?

For each data set below, find the following: a) The 5 Number Summary; b) The IQR...

For each data set below, find the following: a) The 5 Number Summary; b) The IQR c) The “Outlier Fences”; d) List any outliers e) Sketch the box plot 45,70,71,73,75,80,81,85,100

For each of the transactions described here, which of at least two accounts on a bank’s...

For each of the transactions described here, which of at least two accounts on a bank’s balance sheet (Report of Condition) would be affected by each transaction? Sally Mayfield has just opened a time deposit in the amount of $6,000, and these funds are immediately loaned to Robert Jones to purchase a used car. Arthur Blode deposits his payroll check for $1,000 in the bank, and the bank invests the funds in a government security. The bank sells a new...

Imagine you have a rotary combination lock with many dials. Each dial has the digits 0...

Imagine you have a rotary combination lock with many dials. Each dial has the digits 0 - 9. At any point in time, one digit from each dial is visible. Each dial can be rotated up or down. For some dial, if a 4 is currently visible then rotating the dial up would make 5 visible; rotating the dial down would make 3 visible. When 0 is the visible digit then rotating down would make 9 visible. Similarly, when 9...

Assume the required reserve ratio is 5%, and a bank’s excess reserves are $50 million. Which...

Assume the required reserve ratio is 5%, and a bank’s excess reserves are $50 million. Which of the following accurately explain why checkable deposits resulting from new loans based on excess reserves are not likely to generate the maximum of $50 million×20=$1,000 million$50 million×20=$1,000 million? Check all that apply. Cash leakage increases the value of the money multiplier. Cash leakage reduces the value of the money multiplier. Banks not using all their excess reserves to make loans increases the value...

Which number set can you find: a. the inverse of integers under multiplication? b. the inverse...

Which number set can you find: a. the inverse of integers under multiplication? b. the inverse of natural numbers under multiplication?

5. You are auditor of Purrengi LLC which has a set of tea houses in the...

5. You are auditor of Purrengi LLC which has a set of tea houses in the city center. You are required to perfom audit sampling regarding to the things describes below: - You have to check all the account balances and your sample size have to cover all the items equally - You have to check the sequence of the sales invocies so that, to be ensure about the completeness - You have to check purchase balances, so every 5th...

In python this structure can be represented by a set of tuples, where each tuple has...

In python this structure can be represented by a set of tuples, where each tuple has two elements. The following two lines would build the set given above and the print it. >>> L = [(’dog’,’white’), (’cat’,’black’),(’mouse’,’black’)] >>> f = set(L) >>> print(f) {(’cat’, ’black’), (’dog’, ’white’), (’mouse’, ’black’)} In the example, first we store the tuples into a list, and then we create a set with those tuples. There are obviously countless other ways to initialize f and get...

For the following exercises, find the number of subsets in each given set. A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

For the following exercises, find the number of subsets in each given set.A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

Nursing students can engage in which of the following activities to improve culturally safe care Select...

Nursing students can engage in which of the following activities to improve culturally safe care Select all that apply: a. Reflect on one's own personal biases to develop self-awareness b. Complete training to obtain a certificate in cultural competence c. Advocate for the supremacy of Western medicine to treat illness d. Seek employment on a reserve over the summer as a health care aid e. Spend time with Indigenous people experiencing cultural traditions

Question