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QUESTION 3 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 ( = {1, 2, 3)) that contain exactly five 2'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 0 0 0 0 1 in the answer field. Amount: Calculation: 8 QUESTION 4 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 0 0 0 0 1 in the answer field. Amount: Calculation: QUESTION 5 Fill in the blanks below for the amount and the way in which said amount is calculated to give the number of subsets of {1, 2, 3, 'a', 'b', 'c', "apple', "banana", "carbon") that contain 'a', 'b', or 3. 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 0000 1 in the answer field. Amount: Calculation: 2 v6