Home
Class 11
MATHS
The number of 10 digit number that can b...

The number of 10 digit number that can be written by using the digits 2 and 3 is

A

`""^(10)C_(2)+^(9)C_(2)`

B

`2^(10)`

C

`2^(10)-2`

D

2!

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.4|15 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

Similar Questions

Explore conceptually related problems

The number of 10 digit numbers that can be written by using the digits 2 and 3 is

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?

The number of four-digit numbers that can be formed by using the digits 1,2,3,4,5,6,7,8 and 9 such that the least digit used is 4 , when repetition of digits is allowed is

Find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5 if no digit is repeated. How many of these will be even ?

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

Find the total number of nine-digit numbers that can be formed using the digits 2, 2, 3, 3, 5, 5, 8, 8, 8 so that the odd digit occupy the even places.

The number of different seven-digit numbers that can be written using only the three digits 1, 2, and 3 with the condition that the digit 2 occurs twice in each number is a. 2P_5 2^5 b. 7C_2 2^5 c. 7C_2 5^2 d. none of these

The number of four-digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is a. 4^5-5! b. 505 c. 600 d. none of these

FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.5
  1. If .^(n+5) P(n +1) = ((11(n-1))/2) .^(n +3) P(n) then the value of n...

    Text Solution

    |

  2. The product of r consecutive positive integers is divisible by

    Text Solution

    |

  3. The number of five digit telephone numbers having at least one of ...

    Text Solution

    |

  4. If .^(a^(2-a)) C(2) = a^(2-a) C(4) then the value of a is

    Text Solution

    |

  5. There are 10 points in a plane and 3 of them are collinear. The number...

    Text Solution

    |

  6. The number of ways in which a host lady invite 8 people for a par...

    Text Solution

    |

  7. The number of parallelograms that can be formed from a set of four par...

    Text Solution

    |

  8. Everybody in a room shakes hands with everybody else. The total n...

    Text Solution

    |

  9. Number of sides of a polygon having 44 diagonals is

    Text Solution

    |

  10. If 10 lines are drawn in a plane such that no two of them are parallel...

    Text Solution

    |

  11. In a plane are 10 points are there out of which 4 points are coll...

    Text Solution

    |

  12. In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is

    Text Solution

    |

  13. .^((n-1)C(r) + ^((n-1)) C((r-1)) is

    Text Solution

    |

  14. The number of ways of choosing 5 cards out of a deck of 52 which ...

    Text Solution

    |

  15. The number of rectangles that a chessboard has

    Text Solution

    |

  16. The number of 10 digit number that can be written by using the digit...

    Text Solution

    |

  17. If P(r) stands for ""^(r)P(r) then the sum of the series 1+ P(1 )+ ""...

    Text Solution

    |

  18. The product of first n odd natural numbers equals:

    Text Solution

    |

  19. If ''C(4),''C(5),''C(6) are in AP then value of n is

    Text Solution

    |

  20. 1 +3 + 5 + 7 + …. 17 is equal to

    Text Solution

    |