5-54 Discrete Mathematical Structures
8. A bit is either 0 or 1. A byte is a sequence of 8 bits. Find (i) the number of bytes that can be
formed; (ii) find the number of bytes that begin with 11 and end with 00.
9. How many different numbers can be formed by taking only three out of 5 digits 1, 2, 3, 4, 5?
10. In how many ways can 5 letters A, B, C, D, E be arranged so that A and B occupy contiguous
positions.
11. Find the number of ways in which 10 persons working in an industry can be divided into
groups containing four, three, and three.
12. Find the number of ways in which three examinations can be scheduled in a five-day
period so that no two examinations are scheduled for the same day.
13. Three are 20 true or false questions in ...