Use the information provided to answer Written Response 3 Password security is very serious issue as more people communicate, shop and bank online. Most experts recommend that all passwords contain a combination of both upper and lowercase letters, digits and special characters to make a password more difficult to break by increasing its sample space, meaning the total possible number of characters that could potentially be in the password. There are 26 letters, 10 digits and 33 special characters for a total of 95 unique characters on a standard keyboard. Also, letters in passwords are case-sensitive (meaning ' A' is different than ' a') Suppose that all that is known about a particular computer password is that NONE of the characters repeat, it contains 1 uppercase letter, 4 lowercase letters, 2 digits and 1 special character. For example, a password like math30@L meets these conditions. Describe, using the language of permutations and combinations, how to calculate the total number of possible passwords that has these restrictions. Be sure to explain how to deal with the restrictions, how [ 2 marks ] to combine your individual calculations and why you believe each individual calculation should involve permutations or combinations. [1 mark] Suppose that a 5-character password starts with a special character and contains 4 digits. If NONE of the characters can repeat, then what is the total number of possible passwords?Written Response: & Benogee SHOW ALL YOUR WORK FOR FULL MARKS 1. There are some boys and girls seated in a row. If the number of boys is b and the number of girls is g , in how many ways can the students be seated if: A. They are seated in any order [1 mark] B. The boys are seated together [1 mark] [1 mark] 2. Use your knowledge of the binomial theorem and ( - 2x) to find: A. Find the numerical coefficient of the first term. [2 marks] B. The value of the constant term