(a) Can the sum of 12345 odd pos- itive integers be 12345678 ? Prove or disprove. (b)...

70.2K

Verified Solution

Question

Advance Math

(a) Can the sum of 12345 odd pos-
itive integers be 12345678 ? Prove or disprove.
(b) Prove that for every possible re-arrangement (b1, b2, . . . ,b999) of the
numbers (1, 2, . . . , 999), the product
(b1 ? 1)(b2 ? 2)(b3 ? 3) · . . . · (b999 ? 999) is even.

Answer & Explanation Solved by verified expert
4.4 Ratings (717 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students