This is a problem from Discrete Mathematics. I am struggling with it.

Prove or disprove that if the product of two numbers (in ℕ) is even, then at least one of them must be even.

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- sorry by mistake proved it for sum.....
- gupta.vrinda
- May 17, 2018 at 12:00am

- for product the statement is true
- gupta.vrinda
- May 17, 2018 at 12:00am

- Let a and b be two natural numbers such that their product is even then we must have ab =2c for natural number c
- gupta.vrinda
- May 17, 2018 at 12:01am

- => a = 2c/b or b=2c/a in either case either a is even or b even so given statement is true
- gupta.vrinda
- May 17, 2018 at 12:02am

The way to answer this question is ... View the full answer