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1.) How many “words” are there of length 4, with distinct letters, from the letters {a,...

1.) How many “words” are there of length 4, with distinct letters, from the letters {a, b, c, d, e, f}, in which the letters appear in increasing order alphabetically. A word is any ordering of the six letters, not necessarily an English word.

2.) Prove that every graph has an even number of odd nodes.

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