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

Try another example

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

Showing 0 comments:

Be the first to comment!

Next similar math problems:

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 sentence: 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?
5. Task of the year
   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 5 numbers (from 1 to 12 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. Guests
    How many ways can 5 guests sit down on 6 seats standing in a row?
16. Practice
    How many ways can you place 20 pupils in a row when starting on practice?
17. 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?