Question 1 Bit strings (strings that consist of only 0's or 1's) (20 points) 1. How many bit strings of length 10 begin with 1101? 2. How many bit strings of length 10 have exactly six 0:5? 3. How many bit strings of length 10 have equal numbers of 0's and 1's? 4. How many bit strings of length 10 have more 0's than 1's? Question 2 Permutations (35 points) 1. How many permutations of the seven letters A, B, C, D, E, F, G do not have two consecutive vowels on the ends? 2. How many permutations of the seven letters A, B, C, D, E, F, G have the two vowels before the ve other letters? 3. How many permutations of the seven letters A, B, C, D, E, F, G have A immediately to the left of E? 4. How many permutations of the seven letters A, B, C, D, E, F, G neither begin nor end with A? . How many permutations of the seven letters A, B, C, D, E, F, G do not have the vowels next to each other? 01