Question

Which of the following strings over the digits 0 - 9 contain at least three 1's?

1) 010101
2) 111000
3) 101010
4) 110011

Answer 1

Strings 2) 111000 and 4) 110011 are the ones that contain at least three 1's, fulfilling the condition set by the question.

Step-by-step explanation:

The student's question pertains to identifying which of the given strings of digits contains at least three 1's. To solve this, we will examine each string one by one.

• For string 1) 010101, we observe there are two occurrences of 1.
• For string 2) 111000, there are three occurrences of 1, which satisfies the condition.
• For string 3) 101010, like the first string, there are two occurrences of 1.
• For string 4) 110011, there are four occurrences of 1, which also satisfies the condition.

Therefore, strings 2) 111000 and 4) 110011 contain at least three 1's.