Asystem contains n atoms, each of which can only have zero or one quanta of energy. how many ways can you arrange r quanta of energy when (a) n = 2, r = 1; (b) n = 20, r 10; (c) n = 2 x 1023, r = 1023?

Step-by-step explanation:

If the system contains atoms, we can arrange quanta of energy in

ways.

In this case,

                                .

Therefore,

which means that we can arrange 1 quanta of energy in 2 ways.

In this case,

                                .

Therefore,

which means that we can arrange 10 quanta of energy in 184 756 ways.

In this case,

                                .

Therefore, we obtain that the number of ways is

42.4

step-by-step explanation:

convert to decimal

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: