How many numbers between 100 and 500 have a 4 as at least one of the digits?

Answer 1

There are 100 in the 400s.

In the 100s, 200s, and 300s, the ones place or the tens place could be 4. There are 10 numbers with a 4 in the ones place in each 100. There are 10 numbers with a 4 in the tens place in each 100. There is one overlap where there is a 4 in both the tens and the ones place. So, there are 19 numbers with a 4 as a digit in the each 100.

Therefore, there are (19 x 3) + 100 = 157 numbers with a 4 as one of the digits.

Here are the numbers in the 100s with a 4 in the ones place:

104

114

124

134

144

154

164

174

184

194

Here are the numbers in the 100s with a 4 in the tens place:

140

141

142

143

144

145

146

147

148

149

These lists have 20 numbers, but 144 is duplicated, so there are 19 numbers with 4 as a digit. The same will apply to the 200s and 300s. There will be a 4 in every number in the 400s, since the hundreds digit will always be a 4.

Answer 2

To find the numbers between 100 and 500 with at least one 4 as a digit, we can break this down into three cases: numbers with a 4 in the hundreds place, numbers with a 4 in the tens place, and numbers with a 4 in the units place.

For numbers with a 4 in the hundreds place, there are 4 choices for the hundreds digit (1, 2, 3, or 4) and 10 choices each for the tens and units digits, giving us 4 * 10 * 10 = 400 numbers.

For numbers with a 4 in the tens place, there are 9 choices for the hundreds digit (1, 2, 3, 5, 6, 7, 8, 9) and 1 choice for the tens digit (4) and 10 choices for the units digit, giving us 9 * 1 * 10 = 90 numbers.

For numbers with a 4 in the units place, there are 9 choices for the hundreds digit and 10 choices for both the tens and units digits, giving us 9 * 10 * 1 = 90 numbers.

Adding these cases together, we get 400 + 90 + 90 = 580 numbers between 100 and 500 with at least one 4 as a digit.

Answer 3

Well, honey, let me break it down for you. To find the numbers between 100 and 500 with a 4 in them, you can count the possibilities in each place value. There are 4 choices for the hundreds place (1, 2, 3, 4), 10 choices for the tens place (0-9), and 10 choices for the units place (0-9). So, you multiply those together to get 4 x 10 x 10 = 400 numbers. Yes, you heard me right, 400 numbers between 100 and 500 have a cheeky little 4 in them.

Answer 4

What the correct answer

Answer 5

I thing 6484. Am I correct ?

Answer 6

258 fours

Answer 7

157