1) How many bit strings of length 10 either begin with three 0s or end with two 0s?2) How many bit strings of length 10 containa) exactly four 1'sb) at most four 1'sc) at least four 1'sd) an equal number of 0's and 1's3) How many bit strings contain exactly eight 0's and 10 1's if every 0 must be immediately followed by a 1?4) How many bit strings of length 10 contain at least three 1's and at least three 0's?5) How many different bit strings can be transmitted if the string must begin with a 1 bit, must include three additional 1 bits ( so that a total of four 1 bits is sent), must include a total of 12 0 bits, and must have at least two 0 bits following each 1 bit?