A lock on a bank vault consists of three dials, each with 40 positions. In order
ID: 3366558 • Letter: A
Question
A lock on a bank vault consists of three dials, each with 40 positions. In order for the vault to open, each of the three dials must be in the correct postition le dial combinations are there for this lock? b. C. What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault? Explain why'ãial combinations are not mathematical combinations expressed by the equationin- xl(n-x)! a. There are possible dial combinations for this lock. b. The probability that if you randomly select a position on each dial, you will be able to open the bank vault is (Type an integer or a fraction.) c. Choose the correct answer below O A. "Dial combinations' are not combinations beca use each number cannot occur more than once B. O c. "Dial combinations" are not combinations because order does not matter. "Dial combinations" are not combinations because order matters and each number can occur more than once 13Explanation / Answer
I've given the right answers with explanation and formulae. Please don't hesitate to give a "thumbs up" as it encourages us to answer better. Have a good day!
There are 3 dials with 40 positions each.
a. So there are 40C1 * 40C1 *40C1 = 64000 combinations possible. Here we are choosing 1 of 40 numbers in each of the dials.
b. So, 1 among of the 64000 combinations is the correct combination. So, the probability of getting the right combination is = no. Of right combo/ total combos
= 1/64000
c. C. Option is correct. Here's why:
We know the following:
- the number combination should have to be ordered offcourse.
- the numbers can repeat , but order should be maintained
Keeping the above 2 points , options A and B are out, C rightly explains the above 2 points, and is therefore the right answer.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.