Home
Class 11
MATHS
The value of : ^15C1 +^15C3 + ^15C5+…..+...

The value of :` ^15C_1 +^15C_3 + ^15C_5+…..+ ^15C_15` is

A

`15xx16`

B

`2^15`

C

`15xx2^8`

D

`2^14`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION AND LINEAR INEQUATIONS

    PATHFINDER|Exercise QUESTION BANK|14 Videos

Similar Questions

Explore conceptually related problems

Find the value of :- (15)^3

The value of cos15^@-sin15^@ is

Find the value of cos15^@

Find the value of tan15^@

Find the value of tan15^@

Find the value of sin15^@

Find the values of sin 15^(@)

If (1+x)^(15)=C_0+C_1x+C_2x^2+……..+C_(15)x^(15) then ,^15C_0^2-^15C_1^2+^15C_2 ^2 -^15C_3 ^2 +……-^15C_(15) ^2 is equal to

The value of .^(15)C_(0)^(2)-.^(15)C_(1)^(2)+.^(15)C_(2)^(2)-"...."-.^(15)C_(15)^(2) is a. 15 b. -15 c. 0 d. 51

PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. A polygon has 44 diagonals the number of sides of the polygon is

    Text Solution

    |

  2. In a room each person present shakes hand with the other . If the tota...

    Text Solution

    |

  3. The value of : ^15C1 +^15C3 + ^15C5+…..+ ^15C15 is

    Text Solution

    |

  4. The number of 10 digit numbers formed by using the digits 1&2 is

    Text Solution

    |

  5. The maximum number of trials to open n locks by n keys is 105. Then n...

    Text Solution

    |

  6. The number of circles that can be drawn out of 10 points of which 7 ar...

    Text Solution

    |

  7. The number of different 6-digit numbers that can be formed using the t...

    Text Solution

    |

  8. The number of ways in which 6 different balls can be put in two boxes ...

    Text Solution

    |

  9. If 7 points out of 12 are in same st. line the number of triangles for...

    Text Solution

    |

  10. The total number of 9 digit numbers which have all different digit is

    Text Solution

    |

  11. The number of ways in which 5 letters can be posted in 10 letter boxes...

    Text Solution

    |

  12. The number of five digit telephone numbers none of their digits being ...

    Text Solution

    |

  13. There are 13 stations on a certain railway line.How many kinds of diff...

    Text Solution

    |

  14. Prove that (2n!)/(n!)={1.3.5.....(2n-1)}2^n

    Text Solution

    |

  15. Find the number of diagonals in a polygon with n sides.

    Text Solution

    |

  16. A man has 6 friends. In how many ways can he invite one or more of the...

    Text Solution

    |

  17. Find the value of n ^ 2nC4: ^nC3=35:2

    Text Solution

    |

  18. If , ^nC1,^nC2 and ^nC3 are in AP. Find the value of n.

    Text Solution

    |

  19. How many numbers of 5 digits can be formed with the digits 0,2,5,6,7 w...

    Text Solution

    |

  20. A child has 6 pockets and 4 coins.Find the number of ways the child ca...

    Text Solution

    |