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

(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.

Expert Solution

Colby Messinger answered 2 years ago

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

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