How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among 4 people if each person can receive any number of bracelets, including 0? each bracelet must be given to someone.

256 ways

Step-by-step explanation:

We are given that for bracelet

Yellow,green,black  and red

We have to find the number of ways in which

Each person receive any number of bracelet.

Number of peoples=4

If each person receive exactly one bracelet

Then , number of ways==24

If all bracelet received by one person and other have no bracelet=ways

If one  person receive 2 bracelet and other two  received by any other=

If two person gets  two bracelet each and other two have no bracelet= 36 ways

If one person received three bracelet and one received by any of them =48 ways

Total number of ways=24+4+144+48+36=256 ways

Hence, 256 ways are there  to divide four bracelet among 4 peoples.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

answer: howdy

step-by-step explanation: