How many integers from 100 through 999 must you pick in order to be sure at least two of them have a digit in common?

Question

25-08-2022
Social Studies

Answered

How many integers from 100 through 999 must you pick in order to be sure at least two of them have a digit in common?

Answer :

Other Questions

Although, you may think that if you pay close attention to a bright spot, you must be aware of it. But that is not always correct. In the phenomenon, _______, b

1. Pick FIVE people or historical events shown in the video and do the following: a. Identify the person or event b. Write TWO sentences about the person/histor

Outlining and taking notes from your reading is an important part of content reading. Writing a correct outline can organize your reading in a way that makes it

50 points!! in what situation would the rational decision-making model be better than a cost-benefit analysis? A. The dilemma is simple with a yes or no for ch

Consider when the Federal Government should become involved in various issues. Consider the list again in light of what you have learned about the executive bra

Please answer these two questions! the questions in the pics! thank you

Which political figure understood that democratic government must be responsive to the will of the people and once claimed, our government rests on public opini

Write the following sentences and fill in the blanks as you see fit: is an example of how people have adapted to their environment. This adaptation was necessar

The chemical energy of a battery is converted to heat and light energy in the wires and the balm of a flashlight which of the following statements best explains

Tribal representatives have to answer to many different authorities. On the evening news, a tribal council member is criticized for his use of monies earned fro

abhaydwive123 abhaydwive123 · Answer 1 · 2022-08-30T14:45:28-04:00

10 integers from 100 through 999 must you pick in order to be sure at least two of them have a digit in common.

Pigeonhole principle says that

If n items are to be put in m containers and n > m then at least one container must contain more than one item.

Case 1

If we pick 9 random digits:

for eg.: (111, 222, 333, 444, 555, 666, 777, 888, 999)

It's not necessary to have two digits in common.

Case 2: if we pick 10 random digits then we have total of 10 different numbers (0, 1, 2, 3, .... 9) and we have digits starting from 100 to 999, so from the pigeonhole principle one digit must be repeated.

So minimum of 10 integers should be picked.

Learn more about integers at

https://brainly.com/question/17695139

#SPJ4