Mixed

What is the maximum number of people that we can say must have written the same number of lines of code?

What is the maximum number of people that we can say must have written the same number of lines of code?

What’s the maximum number of people that we can say must have written the same number of lines of code? Solution: There are 10·106 + 1 different number of lines of code you can write. So, there exists a number of line of codes with at least L300·106/(106 + 1)n = 30 people. 8.

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How many numbers must be selected from the set 1234 to guarantee that at least one pair of these numbers add up to 7?

Therefore, total number of outcomes = 1 + 4 + 6 = 11 outcomes. 5. How many numbers must be selected from the set {1, 2, 3, 4} to guarantee that at least one pair of these numbers add up to 7? Explanation: With 2 elements pairs which give sum as 7 = {(1,6), (2,5), (3,4), (4,3)}.

What is K in the formula of pigeonhole principle?

Pigeonhole Principle: If k is a positive integer and k + 1 objects are placed into k boxes, then at least one box contains two or more objects. Proof: We use a proof by contraposition. Suppose none of the k boxes has more than one object. Then the total number of objects would be at most k.

How many rectangle sub boards with at least two rows and columns exist on a 8 8 chessboard?

How many rectangle sub-boards with at least two rows and columns exist on a 8 × 8 chessboard? 24.

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How many lines of code can be written in a day?

The table below shows the results of our calculations, which, again, are based on educated guesses. As we can see, a new developer will probably write about 100 lines of code a day, or about 25,000 lines of code in a given working year.

How many friends must you have to guarantee so that at least 5 of them will have their birthdays in the same month?

49 friends
∴ 49 friends should be their to guarantee that at-least five of them must have birthday in a same month of year.

What is pigeonhole government?

If the committee does not act on a bill, it is the equivalent of killing it. The Committee Chair has the right to “pigeonhole” (not assign or hear debate on the bill) thus killing it.

How many types of rectangle are there?

These properties are seen in the two types of rectangles – the Square and the Golden Rectangle. A square is a type of a rectangle with four equal sides and four equal angles. It is a two-dimensional shape where the interior angles at each vertex are 90°.