Apersonal identification number (pin) that opens a certain lock consists of a sequence of 3 different digits from 0 through 9, inclusive. how many possible pin are there? (a) 120 (b) 360 (c) 720 (d) 729 (e) 1,000

720 possible PIN can be generated.

Explanation:

To calculate different number of orders of digits to create password and PIN, we calculate permutation.

Permutation is a term that means the number of methods or ways in which different numbers, alphabets, characters and objects can arranged or organized. To calculate the permutation following formula will be used:

nPr = n!/(n-r)!

there P is permutation, n is number of digits that need to be organize, r is the size of subset (Number of digits a password contains)

So in question we need to calculate

P=?

where

n= 10   (0-9 means total 10 digits)

r= 3     (PIN Consist of three digits)

So by using formula

10P3 = 10!/(10-3)!

        =10!/7!

        = 10x9x8x7!/7!

        = 10x9x8

        = 720

incoplete qest

explanation:

given the lack of choices, i'm gonna wing it and say that pushing your car off a cliff might not be the best idea. your car might sustain damage from the fall and will probably result in the car being too damaged to jump start.

if that's not good enough, avoid filling the car with bees. bees might get agitated when trapped or during the moving process, and might result in death or painful stings that will make jump starting your car very difficult. but in the event that you do choose to fill your car with bees, remember to wear protective gear!