MathDB

10

distinct numbers are given. Professor Odd had calculated all possible products of

1

3

5

7

9

numbers among given numbers, and wrote down the sum of all these products. Similarly, Professor Even had calculated all possible products of

2

4

6

8

10

numbers among given numbers, and wrote down the sum of all these products. It appears that Odd's sum is greater than Even's sum by

1

. Prove that one of

10

given numbers is equal to

1

Problem Statement