# A three-digit numbers

Determine the total number of positive three-digit numbers that contain a digit 6.

Result

n =  252

#### Solution:

106, 116, 126, 136, 146, 156, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 176, 186, 196, 206, 216, 226, 236, 246, 256, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 276, 286, 296, 306, 316, 326, 336, 346, 356, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 376, 386, 396, 406, 416, 426, 436, 446, 456, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 476, 486, 496, 506, 516, 526, 536, 546, 556, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 576, 586, 596, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 706, 716, 726, 736, 746, 756, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 776, 786, 796, 806, 816, 826, 836, 846, 856, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 876, 886, 896, 906, 916, 926, 936, 946, 956, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 976, 986, 996
n= 252

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### To solve this verbal math problem are needed these knowledge from mathematics:

See also our variations calculator. Would you like to compute count of combinations?

## Next similar examples:

1. Three digits number
How many are three-digit integers such that in they no digit repeats?
2. Three-digit
How many three-digit natural numbers is greater than 321 if no digit in number repeated?
3. Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
4. PIN - codes
How many five-digit PIN - code can we create using the even numbers?
Determine the number of integers from 1 to 106 with ending four digits 2006.
6. Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
7. Lock
Combination lock will open when the right choice of 3 numbers (from 1 to 25 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
8. Variations
Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.
9. Cars plates
How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
10. Metals
In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
11. Olympics metals
In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
12. Medals
In how many ways can be divided gold, silver and bronze medal among 21 contestant?
13. Football league
In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
14. Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
15. Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
16. Guests
How many ways can 5 guests sit down on 6 seats standing in a row?
17. Combinations 7
A multi-course meal has 3 choices. 3 appetizers, 4 main courses, and 3 desserts. How many different combinations to choose from?