How many positive integers not exceeding 100 are divisible

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1 How many bit strings of length seven either begin with two 0s or end with three 1s? Explain your answer and show your work.

2 How many positive integers not exceeding 100 are divisible either by 4 or by 6? Explain your answer and show your work.

3 A WEP key for a WiFi network is a string of either 10, 26, or 58 hexadecimal digits. How many different WEP keys are there? Explain your answer and show your work.

4 Justify (provide reasoning) that if seven integers are selected from the set of first ten positive integers, there must be at least two pairs of these integers with the sum 11.

5 How many ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other? Explain your answer and show your work.

Reference no: EM132217570

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