Question

4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

likes

440 views

Answer to a math question 4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

$Expert avatar$

Jon

4.6

110 Answers

1. The die has 6 faces, so each roll can result in one of 6 possible outcomes.

2. Since the combination is 3 digits long and each digit is determined by a roll of the die, we multiply the number of outcomes for each digit.
3. The total number of unique combinations is given by:

6 \times 6 \times 6 = 6^3

4. Therefore, the number of unique combinations is:

216

Thus, the answer is

216

Frequently asked questions (FAQs)

Question: What is the derivative of the function f(x) = ∫[0,x³] (t² + 1) dt?

What is the slant height of a cone with radius r and height h?

Question: What is the limit of (3x^2 + 4x - 1) / (2x^2 - 5x + 3) as x approaches 2?

New questions in Mathematics

Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?

Pedro bought 9 kg of sugar at the price of R$1.80 per kilogram, six packets of coffee at the price of R$3.90 per packet and 8 kg of rice at the price of R$2.70 per kilogram. Knowing that he paid for the purchases with a R$100.00 bill, how much change did he receive?

2x-y=5 x-y=4

Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)

2.5 / 21.85

(5y 9)-(y 7)

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. b) What is the profit value made by the hotel for one

From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539

TEST 123123+123123

2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?

A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?

Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?

Calculate the difference between 407 and 27

15.A newly married couple purchased a home with a $123710 down payment. They financed the remaining balance of the home with a mortgage. Their payments were $15395 at the end of every six months for 23 years and the interest rate was 10.6%, compounded semi-annually. How much did they purchase their home for. Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625

25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83

Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?

Determine the general solution of the equation y′+y=e−x .

The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).

To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

Answer to a math question 4. A 3-digit combination for a lock is to be randomly generated using rolls of a 6-sided die. The die is rolled once for each number of the combination. How many unique combinations can be generated this way?

You might be interested in