Home
Class 12
MATHS
The number of natural numbers less than ...

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to

A

250

B

374

C

372

D

375

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

If the number of all numbers less than 2000000 which can be written using the digits 0,1 and 2 is equal to

The number less than 1000 that can be formed using the digits 0, 1, 2, 3, 4, 5 when repetition is not allowed is equal to a. 130 b. 131 c. 156 d. 155

The sum of all four-digit numbers that can be formed by using the digits 2, 4, 6, 8 (when repetition of digits is not allowed) is a. 133320 b. 5333280 c. 53328 d. none of these

The number of integers greater than 6000 that can be formed ,using the digits 3, 5 , 6 , 7 and 8 , without repetition is -

Numbers greater than 1000 but not greater than 4000 which can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is allowed) are a. 350 b. 375 c. 450 d. 576

The number of different 6-digit numbers that can be formed using the three digits 0,1,2 is

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

How many numbers lying between 3000 and 4000 can be formed with the digits 0,1,2,3.4 , if repetitions of digits being allowed ?

The number of five-digit numbers which are divisible by 3 that can be formed by using the digits 1,2,3,4,5,6,7,8 and 9 , when repetition of digits is allowed, is (a) 3^(10) (b) 4.3^(8) (c) 5.3^(8) (d) 7.3^(8)

Find the three-digit odd numbers that can be formed by using the digits 1, 2, 3, 4, 5, 6 when the repetition is allowed.

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. Consider a class of 5 girls and 7 boys. The number of different teams ...

    Text Solution

    |

  2. Let S be the set of all triangles in the xy-plane, each having one ver...

    Text Solution

    |

  3. The number of natural numbers less than 7,000 which can be formed by u...

    Text Solution

    |

  4. If set A={1, 2, 3, 20, }, then the find the number of onto functions f...

    Text Solution

    |

  5. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  6. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

    Text Solution

    |

  7. Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x +...

    Text Solution

    |

  8. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  9. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  10. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  11. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  12. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  13. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  14. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  15. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  16. The value of r for which .^(20)C(r ). ^(20)C(0)+ .^(20)C(r - 1) .^...

    Text Solution

    |

  17. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  18. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  19. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  20. If ""^(n)C(4),""^(n)C(5) and ""^(n)C(6) are in A.P. then the value of ...

    Text Solution

    |