Home
Class 11
MATHS
The number of rectangles excluding squar...

The number of rectangles excluding squares from a rectangle of size `15 xx 10` is

A

3940

B

4940

C

5940

D

6940

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Find the number of rectangles excluding squares from a rectangle of size 9 xx 6

Find the total number of rectangles on the normal chessboard.

A rectangle with sides 2m-1 and 2n-1 divided into squares of unit length the number of rectangles which can be formed with sides of odd length is

The breadth of a rectangle is 3cm less than its length. If the area of the rectangle be 40 square cm. Find its perimeter.

The number of rectangles that can be obtained by joining four of the twelves verties of a 12-sides regular polygon is -

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x =10cm and y = 6cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

A rectangle with sides of lengths (2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these

Number of ways in which 30 identical things are distributed among six persons is a .^17C_5 if each gets odd number of things b .^16C_11 if each gets odd number of things c .^14C_5 if each gets even number of things (excluding 0) d .^15C_10 if each gets even number of things (excluding 0)

Given below are two pairs of statements. Combine these two statements using ''if and only if ''. p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

mn squares of equal size are arranged to form a rectangle of dimension m by n, where m and n are natural numbers. Two square will be called neighbors if they have exactly one common side. A number is written in each square such that the number written in any square is the arithmetic mean of the numbers written in its neighboring squares. Show that this is possible only if all the numbers used are equal.

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. Between two junction stations A and B there are 12 intermediate statio...

    Text Solution

    |

  2. A car will hold 2 persons in the front seat and i in the rear seat . I...

    Text Solution

    |

  3. The number of rectangles excluding squares from a rectangle of size 15...

    Text Solution

    |

  4. The number of divisors of 2^2 cdot 3^3 cdot 5^5 cdot 7^5 of the form 4...

    Text Solution

    |

  5. The maximum number of different permutations of 4 letters of the word ...

    Text Solution

    |

  6. We are required to from different words with the help of the letter of...

    Text Solution

    |

  7. The number of polynomials of the form x^3 + ax^2 + bx + c which are di...

    Text Solution

    |

  8. A closet has 5 pairs of shoes. The number of ways in which 4 shoes can...

    Text Solution

    |

  9. The number of positive integers satisfying the inequality .^(n+1)C(n-2...

    Text Solution

    |

  10. A father with 8 children takes 3 at a time to the zoological gardens, ...

    Text Solution

    |

  11. For 2 le r le n,(n/r) + 2(n/(r-1)) + (n/(r - 2)) is equal to

    Text Solution

    |

  12. A letter lock consists of three rings marked with 15 different letters...

    Text Solution

    |

  13. The number of subsets of a set containing n distinct elements is

    Text Solution

    |

  14. If alpha = x1x2x3 and beta = y1y2y3 be two three digits numbers , the ...

    Text Solution

    |

  15. The number of diagonals an n - sided convex polygon is

    Text Solution

    |

  16. 24! is divisible by

    Text Solution

    |

  17. If N is the number of positive integral solutions of x1 cdot x2 cdot x...

    Text Solution

    |

  18. The total number of ways in which a beggar can be given at least one r...

    Text Solution

    |

  19. The number of ways in which three numbers in A.P. can be selected from...

    Text Solution

    |

  20. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

    Text Solution

    |