Shannon was born on 12/21/1982. How many eight-digit codes could she make using the digits in her birthday?

The value is    

Step-by-step explanation:

From the question we are told that

    The birth date of  Shannon is  12/21/1982

 Generally the number of digits present in her birth date is N = 8

  Looking at the date we can see that  1 repeated  3 times

                                                                2 repeated 3 times

 Generally the total number eight -digit code that she could make using her birthday given  the total  number of digits that make up her birth date is N = 8

is mathematically represented as

            K =  8!

but but given that  digit 1 repeated itself 3 times , and 2 repeated itself 3 times then the total number of eight -digit code that she could make using her birthday will be mathematically evaluated as

=>        

=>          

=>          

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

14

step-by-step explanation: