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Tom picks 11 distinct numbers from 1 to 20 Prove that amongst the numbers selected are two whose difference is 10?
Use a direct proof;
Suppose Tom minimises the largest difference between two numbers. For this to be true, Tom must pick consecutive numbers. If Tom picks 10 consecutive numbers the maximum difference must be 9. Given that tom picks one more number, there must be two numbers who differ by 10 for all selections.
What else can I help you with?
Is the difference of two numbers always less than at least one of the numbers?
yes. for all positive, distinct numbers greater than 0
What numbers have only 1 distinct factor?
Prime numbers have one distinct prime factor.
How are odd and even numbers are related to their factors?
Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.
Are rational numbers interfere?
No, they are all distinct numbers and do not interfere.
What is the probability of getting 2 numbers right in a lottery of 39 numbers?
The answer depends on how many numbers are selected.The answer depends on how many numbers are selected.The answer depends on how many numbers are selected.The answer depends on how many numbers are selected.
What is a distinct number?
it is different numbers
How many numbers will divide into 10?
Amongst counting numbers (positive integers) only 4.
What is the difference between factor pairs and distinct factor pairs?
The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.
What is the meaning of set of numbers?
a collection of distinct numbers regarded as a unit
What numbers only have one distinct area model?
prime numbers
Should one play the same lottery numbers?
Statistically, that makes absolutely no difference. What makes a difference is how your numbers are selected. If, for example, you choose birthdays of family members and friends, then you will not have numbers larger than 31. Since many people do that, if your combination does win then you are likely to have to share the winnings with more people. Similarly, if you choose patterns on the lottery ticket.
What is are the numbers found between 4.98 and 4.99?
There are infinitely many numbers. Amongst them are4.980000000000000000001, 4.980000000000000000001200000003, sqrt(24.8005).
