Keyless door entries require you to input your 6 digit passcode in the correct order. How many different 6 digit passcodes can be created from 10 digits, if all of the digits must be distinct? Give your answer in simplest form.

Provide your answer below:

151200

Step-by-step explanation:

We want to know how many permutations of 6 digits can be chosen from 10 different digits, so we use the formula:

nPr=n!(n−r)!

Here, r=6 and n=10, so we have:

10P6=10!(10−6)!=10!4!=10⋅9⋅8⋅7⋅6⋅5⋅4!4!=151,200

answer:      

step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: