17 numbers - 5, 50, 41, 14, 410, 401, 104, 140, 32, 23, 320, 302, 230, 203, 221, 212, 122.
2,4,6,8,10,12,14,16,18
21.
21
How many two digit numbers are there in which the tens digit is greater than the oneβs digit ?
There is no limitation given to the number of digits in the number, thus: For 3 digit numbers: to be less than 500 the first digit can be only one of {1, 2, 3, 4} leading to 4 × 5 × 4 = 80 numbers For 2 digit numbers: they are all less than 500, and there are 6 × 5 = 30 numbers For 1 digit numbers: they are all less than 500, and there are 6 numbers Thus there are in total 80 + 30 + 6 = 116 numbers that can be made form the digits {1, 2, 3, 4, 5 ,6} without repetitions that are less than 500.
There are five such numbers.
There are no three-digit numbers that equal 17. In fact, there are no numbers with more or less than two digits that equal 17. In fact, in the whole infinite supply of numbers, there is only one single number that equals 17. That number is . . . . . . . 17 .
2,4,6,8,10,12,14,16,18
30,25,15,20, or 10.
21.
5
18 numbers are there
30
21
There are 15 of them.
40. Excluding numbers starting with 0.
There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.