Apassword is 4 characters long, consisting of 2 letters and 2 numbers. the password must begin and end with a letter. if numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Option: a is the correct answer.

                     a.  65000

It is given that:

   A password is 4 characters long, consisting of 2 letters and 2 numbers.

Also, the numbers could be repeated but letters must not be repeated.

and The first and end character of the password is a letter.

Hence, the number of ways of doing so is:

26×10×10×25=65000

( Since at the first place we have 26 choices as any of the letter could come and for the second place we have: 10 choices as any of the 10 numbers could come and similar for the third place but for the fourth place we have 25 choices as letter could not be repeated )

          Hence, the total  possibilities are:

                    65000

c. (3,2,6) is the answer.

yes

step-by-step explanation: