For each of the four subsets of the two properties (a) and (b), count the number of four-digit numbers whose digits are either 1,2,3,4, or 5:

(a) The digits are distinct

(b) The number is even

Question

Chang

Mathematics

26 November, 17:14

For each of the four subsets of the two properties (a) and (b), count the number of four-digit numbers whose digits are either 1,2,3,4, or 5:

(a) The digits are distinct

(b) The number is even

+1

Answers (1)

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Branson · Answer 1

- (No restriction) 5 ^4

- (Digits are distinct) 5 * 4 * 3 * 2

- (Even) 5 ^3 * 2. (The last digit has to be 2, but otherwise there is no restriction.)

- (Digits are distinct and even) 2 * 4 * 3 * 2 * 1. (Choose the digits from

right to left.)

For each of the four subsets of the two properties (a) and (b), count the number of four-digit numbers whose digits are either 1,2,3,4, or 5:(a) The digits are distinct(b) The number is even

For each of the four subsets of the two properties (a) and (b), count the number of four-digit numbers whose digits are either 1,2,3,4, or 5:

(a) The digits are distinct

(b) The number is even