Exercise 1: Counting binary strings.
Count the number of binary strings of length 10 subject to each of the following restrictions.
There is only one binary string of length ten with no 1's: 00000000000. There are binary strings of length ten. Therefore the number of binary strings of length ten with at least one 1 is .
(b) The string has at least one 1 and at least one 0.
(c) The string contains exactly five 1's or it begins with a 0.
Exercise 2: Counting integer multiples.
(b) How many integers in the range 1 through 140 are integer multiples of 2, 5, or 7?
Assume the following sequence is arithmetic:
a) Create a table for this sequence
b) What is the common difference?
What is zero term?
c) Write the equation for
Simplify the expression. Express your answer using rational indicators if the letters represent positive numbers.
Simplify the expression. Then express your answer using rational indicators. Let the letters stand for positive numbers.
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