42 ball in 7 box divided into odd number
Answers
Answer:
No
Step-by-step explanation:
Because the sum of Two Numbers is always an even number
sum of two odd numbers will always be an even number, and the sum of an even number and an odd number will always be an odd number. I’ll leave this to you to prove (hint: it is helpful to think of an odd number as one more than an even number in this context).
So if you add up the number of balls in the first two boxes, you get an even number. Add that to the third, and you get an odd. Add the fourth for an even, and when you add the fifth, you’re back to odd. More generally, the paridy (even vs. odd) of the sum of n odd numbers is the same as the paridy of n .
Therefor, if you have five boxes which each contain an odd number of balls, the total number of balls must also be odd. Twenty is not odd, so the task you requested is impossible. You’ll go far in the world of buisness.