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Sharon's 5-digit ZIP Code

contains each of the digits 7, 3,

6, 1, and 2. How many different

possibilities are there for

Sharon's ZIP Code?

24

120

720

3125

А

B

D

Sharon s 5 digit ZIP Code contains each of the digits 7 3 6 1 and 2 How many different possibilities are there for Sharon

Answer :

Answer:

B

Step-by-step explanation:

There are 5 spots to fill with the digits 7, 3, 6, 1, and 2 to make a code

Think how many ways you can fill each of the spots.

spot 1: either 7, 3, 6, 1, or 2 so there are 5 ways to fill that first spot

spot 2: is can be filled in 4 ways because is given that each of the digits have to be in the code so if we used one of the numbers for the first spot now we have 4 numbers left to use

spot 3: 3 ways , spot2: 2 ways, and spot1: 1 way

The different possibilities for Sharon's ZIP Code are given by the multiplication of the numbers of ways you can fill each spot in the code 5*4*3*2*1 = 120

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Rewritten by : Barada

The correct answer is 120.

Given that Sharon’s ZIP Code contains the digits 7, 3, 6, 1, and 2, we need to arrange these digits to form a 5-digit code. Since no repetition of digits is allowed (each digit can appear only once), we’ll use the concept of permutations.

The total number of ways to arrange these 5 digits is given by:

[tex][ \text{Number of arrangements} = 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 ][/tex]

Therefore, there are 120 different possibilities for Sharon’s ZIP Code.

The correct answer is 120.