4&5

4. (20 pt.) How many different bit strings of length 10... a. (10 pt.) contain exactly five 1's or begin with a 0? b. (10 pt.) contain either five consecutive 0's or five consecutive 1's? 5. (20 pt.) How many different ways are there to choose 5 items from 12 distinct items if... a. (5 pt.) the order of the items matters and repetition of items is not allowed? b. (5 pt.) the order of the items matters and repetition of items is allowed? c. (5 pt.) the order of the items does not matter and repetition of items is not allowed? d. (5 pt.) the order of the items does not matter and repetition of items is allowed