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5 votes
Please help!How many 3 digit numbers are there where each and every digit is even?

User Monssef
by
8.1k points

2 Answers

6 votes
200
202
204
206
208
220
222
224
226
228
240
242
246
248
260
262
264
266
268
280
282
284
286
288

Then the same last two digits but replace the first with a 4, 6, 8 (486)
User Felix Pamittan
by
8.4k points
5 votes

The first digit can be any one of four. (2, 4, 6, 8). For each of these ...
The second digit can be any one of four. (2, 4, 6, 8). For each of these ...
The third digit can be any one of four. (2, 4, 6, 8).

Total number of possibilities = (4 x 4 x 4) = 64 .

=============================

If you say that zero is also an even digit, then there are 5 choices
for the second and third digits.

The total number of possibilities is (4 x 5 x 5) = 100 .


User Berkobienb
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7.7k points