How many 4 digit numbers can be formed with the digits 3 5 7 8 9 which are greater than 7000?

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Nội dung chính

  • How many 4 digits numbers can be formed using digits 1,2 3 5 7 9 repetition not allowed?
  • How many 4 digit numbers can be formed with repetition?
  • How many 4 digit numbers can be formed using the digits 1 3 4 5 7 9 sum of digits is not allowed?
  • How many 4 digits numbers greater than 7000 can be formed out of the digits?
  • How many four digit numbers can be formed with the digits 3 5 7 8 9 which are Greaterthan 8000 if repetition of digits is not allowed?
  • How many 2 digit numbers can be formed with the digits 3 5 6 7 8 if none of the digits is repeated in any of the numbers formed?
  • How many 8 digit numbers can be formed with the digits 3/5 and 7?
  • How many 3 digit numbers can be formed using the digits 1 3 5 7 9 where we are not allowed to repeat the digits?

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Nội dung chính

  • How many 4 digits numbers can be formed using digits 1,2 3 5 7 9 repetition not allowed?
  • How many 4 digit numbers can be formed with repetition?
  • How many 4 digit numbers can be formed using the digits 1 3 4 5 7 9 sum of digits is not allowed?
  • How many 4 digits numbers greater than 7000 can be formed out of the digits?

How many 4-digit numbers greater than 7000 can be formed by using the digits 3, 5, 7, 8, 9, if repetition is not allowed?


Solution not provided.

Ans. 72

178 Views


A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?


Event 1: A coin is tossed and the outcomes recorded.

                                Number of outcomes 

                                      m = 2

Event 2: The coin is tossed again and the outcomes recorded.

            Number of outcomes 

                                       n = 2

Event 3: The coin is tossed third time and the outcomes recorded.

           Number of outcomes 

                                           p = 2

∴  By fundamental principle of counting, the total number of outcomes recorded                                                     = 

548 Views


How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is not allowed.


Number of ways in which place (x) can be filled = 5

                                           m = 5

Number of ways in which place (y) can be filled = 4      (∵ Repetition is not allowed)

                                           n = 4

Number of ways in which place (z) can be filled = 3      (∵ Repetition is not allowed)

                                           p = 3

∴ By fundamental principle of counting, the total number of 3 digit numbers formed                                         = m x n x p = 5 x 4 x 3 = 60.

526 Views


How many 3-digit odd numbers can be formed from the digits 1,2,3,4,5,6 if:
(a) the digits can be repeated (b) the digits cannot be repeated?


(a) Number of digits available = 6

Number of places [(x), (y) and (z)] for them = 3

Repetition is allowed and the 3-digit numbers formed are odd

Number of ways in which box (x) can be filled = 3 (by 1, 3 or 5 as the numbers formed are to be odd)

               m = 3
Number of ways of filling box (y) = 6                           (∴ Repetition is allowed)               n = 6

Number of ways of filling box (z) = 6                           (∵ Repetition is allowed)

              p = 6

∴  Total number of 3-digit odd numbers formed

                             = m x n x p = 3 x 6 x 6 = 108

(b) Number of ways of filling box (x) = 3                     (only odd numbers are to be in this box )

                                   m = 3

Number of ways of filling box (y) = 5                                (∵ Repetition is not allowed)

                              n = 5

Number of ways of filling box (z) = 4                                 (∵ Repetition is not allowed)

                             p = 4

∴     Total number of 3-digit odd numbers formed

                                  = m x n x p = 3 x 5 x 4 = 60.

231 Views


Given 5 flags of different colours, how many different signals can be generated if each signal requires use of 2 flags, one below the other?


Number of ways of finding a flag for place 1 = 5

                           m = 5

Number of remaining flags = 4

Number of ways of finding a flag for place 2 to complete the signal = 4

                     n = 4

∴ By fundamental principle of counting, the number of signals generated                       = 

991 Views


How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed.


Number of digits available = 5

Number of places for the digits = 3.

Number of ways in which place (x) can be filled = 5

                           m = 5

Number of ways in which place (y) can be filled = 5    (∵  Repetition is allowed)

                            n = 5

Number of ways in which place (z) can be filled = 5    (∵ Repetition is allowed)

                             p = 5

∴ By fundamental principle of counting, the number of 3-digit numbers formed.                           = m x n x p = 5 x 5 x 5 = 125

458 Views


How many 4 digits numbers can be formed using digits 1,2 3 5 7 9 repetition not allowed?


Number of 4-digit numbers `=(4xx3xx2xx1)=24. `
Hence, the number of required numbers `=(4+12+24+24)=64. ` Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

How many 4 digit numbers can be formed with repetition?

There is 4 possible ways to fill hundredth place as digits cannot be repeated. There is 3 possible ways to fill the first place of four digit number. ∴ 60 four-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9.

How many 4 digit numbers can be formed using the digits 1 3 4 5 7 9 sum of digits is not allowed?

1 Answer. We know that the number of 4 digited numbers that can be formed using the digits 1, 3, 5, 7, 9 is 5P4 = 120.

How many 4 digits numbers greater than 7000 can be formed out of the digits?

Since you didn't state that digits cannot be repeated, the answer is 4^4 = 256 different numbers.

How many four digit numbers can be formed with the digits 3 5 7 8 9 which are Greaterthan 8000 if repetition of digits is not allowed?

1 Answer. The required numbers are greater than 8000. Therefore, the thousand's place can be filled with 2 digits: 8 or 9. Thus total number of possible outcomes is 2C1 × 4C1 × 3C1 × 2C1 = 2 × 4 × 3 × 2 = 48.

How many 2 digit numbers can be formed with the digits 3 5 6 7 8 if none of the digits is repeated in any of the numbers formed?

∴ Required number of numbers = (1 x 5 x 4) = 20. Was this answer helpful?

How many 8 digit numbers can be formed with the digits 3/5 and 7?

6561 eight-digit numbers can be made from the digits 3, 5 and 7.

How many 3 digit numbers can be formed using the digits 1 3 5 7 9 where we are not allowed to repeat the digits?

Therefore, a total of 100 3 digit numbers can be formed using the digits 0, 1, 3, 5, 7 when repetition is allowed.

How many 4

1 Answer. The required numbers are greater than 8000. Therefore, the thousand's place can be filled with 2 digits: 8 or 9. Thus total number of possible outcomes is 2C1 × 4C1 × 3C1 × 2C1 = 2 × 4 × 3 × 2 = 48.

How many 4 digits numbers can be formed using digits 1 3 4 5 7 9 repetition not allowed?

Hence, there are 720 numbers can be formed.

How many 4 digits numbers greater than 7000 can be formed out of the digits?

4000, 4004, 4007, 4009, 4040, 4044, 4047, 4049, 4070, 4074, 4077, 4079, 4090, 4094, 4097, 4099: 16.

How many 4

Answer. 120 combinations can be formed.