Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.
What is Combination?
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.
Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.
The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,
[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]
Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.
Learn more about Combination:
https://brainly.com/question/11732255
Answer:
B. 26 times 36 superscript 7
Step-by-step explanation:
its the right answer
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
