Please show work

Fill in the blanks below for the amount and the way in which said amount is calculated to give the number of ways can one combine characters from {'A', 'C', 'G', 'T', 't','g', 'c', 'a') to produce distinct length-5 strings that contain "CAT" as a substring. Note: If the amount requires less than four digits to express, fill the extra blanks with O's (starting from left to right). For example, if the total comes to 1, then input 00001 in the answer field. Amount: Calculation: QUESTION 2 Fill in the blanks below for the amount and the way in which said amount is calculated to give the number of distinct, length-8 ternary strings (E = {1, 2, 3}) that contain at least three 3's. Note: If the amount requires less than four digits to express, fill the extra blanks with O's (starting from left to right). For example, if the total comes to 1. then input 00001 in the answer field. Amount: Calculation: 3 8+7 Fill in the blanks below for the amount and the way in which said amount is calculated to give the number of ways can one combine characters from {'A', 'C', 'G', 'T', 't','g', 'c', 'a') to produce distinct length-5 strings that contain "CAT" as a substring. Note: If the amount requires less than four digits to express, fill the extra blanks with O's (starting from left to right). For example, if the total comes to 1, then input 00001 in the answer field. Amount: Calculation: QUESTION 2 Fill in the blanks below for the amount and the way in which said amount is calculated to give the number of distinct, length-8 ternary strings (E = {1, 2, 3}) that contain at least three 3's. Note: If the amount requires less than four digits to express, fill the extra blanks with O's (starting from left to right). For example, if the total comes to 1. then input 00001 in the answer field. Amount: Calculation: 3 8+7