Q: Make a list of all possible samples of size 2 that could be drawn with replacement from this set of numbers 1 3 5 7?

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Welcome to the world of permutations. We have to sort out one critical issue before we forge ahead. Is this a replacement or non-replacement set that we are drawing our numbers from? The question said "any seven numbers" and was no more specific than that. In conbinatronic permutations, we generally mean a non-replacement set as opposed to a replacement set. But the question said "any seven numbers" and that could mean a replacement set. What we are talking about is whether when we take a number from the number pool, do we put it back so it may possibly be chosen again or do we not? Replacement is when we put it back so it might be drawn again, and non-replacement is when it can be used only once in a draw. In a non-replacement set, we have to reduce the pool by one number after each time we choose an element. If out problem was this non-replacement kind, the number of possible combinations for the seven digits would be 49 x 48 x 47 x 46 x 45 x 44 x 43 = 432,938,943,360 That's 432 billion, 938 million, 943 thousand, 360. In a replacement set, the possible number combinations for seven digits from a pool of from 1 through 49 is found by multiplying the number of elements in the pool by itself as many times as the number of elements taken from the pool. In our problem, 49 x 49 x 49 x 49 x 49 x 49 x 49 = 497 = 623,987,825,041 That's 623 billion, 987 million, 825 thousand, 041.

67, 76

By making a number tree that could have as many as 1,000,000 combos.

13 + 0

Nova net answer: They are the same

Related questions

This is possible only by chemical analysis of atmospheric samples.

The term 'replacement set' is most often used in algebra, often when describing variables used in inequalities. It is the set of possible values for a variable to hold as "input". So, if we have two variables; M is greater than 6, and N is less than 9, and then some variable X which we know is between them, we can quickly deduce that X is somewhere between 6 and 9. The Replacement Set for M is the set of all numbers greater than 6 (going on to infinity). The Replacement Set for N is the set of all numbers less than 9, going down to zero and negative infinity. If we take both the replacement sets and see what they have in common, we get the set of all numbers that X could possibly be. In scholastic work it may mean all the possible numbers you reasonably could "plug in" while getting X. Sometimes they will give you a table of numbers to try, and call it the Replacement Set. If you can plug in any number you like, then the Replacement Set is the set of all numbers. It could be limited to odd numbers, or to 'any number greater than 6', or, if eg. you only sat tables of 8, then your inputs for number of guests would be limited to (or predicted to be) multiples of 8. I believe it is completely equivalent to the term 'Domain', but as I said before carries with it a connotation of being used with inequalities, or with a discrete list, like a table of inputs. Sometimes, perhaps most colloquially, it means the set of numbers you currently have the hunch will solve your problem.

3

Definitely go back to the doctors. There could be something wrong with the replacement. Book an appointment as soon as possible.

It is possible to tell the difference between two samples of water, yes. If you have reference samples, you could even tell which of them was from where. Without reference samples, you'd have to make some guesses about what you would expect New York water to be like vs. what you would expect Idaho water to be like (I'd expect NY water to be softer, but I'm not a geologist and could easily be wrong about that.)

To store tissue samples for research, they are most of the time converted into FFPE blocks and stored in an airtight container, preferably in the refrigerator at 40 °C. It is also possible to store them as fresh frozen samples at -80 °C using dry ice or liquid nitrogen tanks. If you want to dive deeper into the topic, you could visit our website, where we offer human tissue samples: centralbiohub.de/biospecimens/tissue-bank/human-tissue-samples

"You could find Avon samples from a representative near you. You could also use the Avon website, and invest the 20 dollars to open your own Avon company and they will send you samples."

The smallest possible pair of numbers is 1700 and 2550.

Welcome to the world of permutations. We have to sort out one critical issue before we forge ahead. Is this a replacement or non-replacement set that we are drawing our numbers from? The question said "any seven numbers" and was no more specific than that. In conbinatronic permutations, we generally mean a non-replacement set as opposed to a replacement set. But the question said "any seven numbers" and that could mean a replacement set. What we are talking about is whether when we take a number from the number pool, do we put it back so it may possibly be chosen again or do we not? Replacement is when we put it back so it might be drawn again, and non-replacement is when it can be used only once in a draw. In a non-replacement set, we have to reduce the pool by one number after each time we choose an element. If out problem was this non-replacement kind, the number of possible combinations for the seven digits would be 49 x 48 x 47 x 46 x 45 x 44 x 43 = 432,938,943,360 That's 432 billion, 938 million, 943 thousand, 360. In a replacement set, the possible number combinations for seven digits from a pool of from 1 through 49 is found by multiplying the number of elements in the pool by itself as many times as the number of elements taken from the pool. In our problem, 49 x 49 x 49 x 49 x 49 x 49 x 49 = 497 = 623,987,825,041 That's 623 billion, 987 million, 825 thousand, 041.

all solid things could be measured

67, 76

If you had recorded the engine block numbers from the old engine you could compare with the replacement engine.