Monday

December 22, 2014

December 22, 2014

Posted by **Shanaynay** on Tuesday, February 21, 2012 at 5:54pm.

- math -
**MathMate**, Tuesday, February 21, 2012 at 9:39pmTry to select 15 numbers among the 100, such that the difference between successive numbers are distinct!

If you cannot, the probability is 1.0!

- math -
**MathMate**, Tuesday, February 21, 2012 at 10:47pmFor example, take successive differences of 1,2,3,4,5....14, we get

1,2,4,7,11,16,22,29,37,46,56,67,79,92,105

(105 is the 15th number), so it is not possible to have 14 distinct difference using numbers between 1 and 100.

This is not even counting 7-2=5, 16-11=5, etc.

Since it is impossible to select 15 numbers between 1 and 100 such that the successive differences are distinct, we are always able to choose two pairs of numbers out of any 15 numbers such that the differences are equal.

The probability is therefore 1.

**Answer this Question**

**Related Questions**

Statistics - We are given this table which is Benford law for these questions ...

Math - List the common multiples from 1 to 100 for each pair of numbers. Then ...

math - A. Find 3 pairs of numbers for which the least common multiple equals the...

Math - Hot numbers in a lottery are numbers that keep coming up. Cold numbers ...

math - A bag contains ﬁfty slips (small pieces of paper) with the ...

Math - Find three pairs of numbers for which the LCM (least common multiple) is ...

Math - Suppose you have two numbers. The difference of the two numbers is 12. ...

Math - PLEASE HELP I DON'T KNOW WHAT TO DO D': I don't understand what to do or ...

math - The Florida Lottery is made up of the numbers 1-49. My mother has ...

math - The Florida Lottery is made up of the numbers 1-49. My mother has ...