Home
Class 12
MATHS
The value of (30 0)(30 10)-(30 1)(30 11)...

The value of `(30 0)(30 10)-(30 1)(30 11)+(30 2)(30 12)++(30 20)(30 30)=` `^60 C 20` b. `^30 C 10` c. `^60 C 30` d. `^40 C 30`

A

`""^(40)C_(20)`

B

`""^(30)C_(10)`

C

`""^(60)C_(30)`

D

`""^(40)C_(30)`

Text Solution

Verified by Experts

The correct Answer is:
b
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (Assertion/Reason) |1 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (TRUE AND FALSE) |11 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |12 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,11)-.........+(30,20)(30,30), where (n,r)=nC_(r) is a.(30,10) b.(30,15) c.(60,30)d.(31,10)

The value of (sin 30 + cos 30)-(sin 60 + cos 60) is

Knowledge Check

  • The value of (tan 30^@+ tan 60^@)/(cos 30^@) is:

    A
    `sqrt3 +3`
    B
    `8//3`
    C
    `8//sqrt3`
    D
    `1+sqrt3`

  • The value of sum_(r=0)^(10) (-1)^(r).4^(10-r)""^(30)C_(r)""^(30-r)C_(10-r) is equal to

    A
    `.^(30)C_(10) xx 2^(10)`
    B
    `.^(30)C_(9) xx 4^(10)`
    C
    `.^(30)C_(10) xx 3^(10)`
    D
    `.^(30)C_(9) xx 4^(10)`

  • What is the value of (sin 30^@ + cos 30^@)/(cos 30^@ - sin 30^@)

    A
    `2 - sqrt3`
    B
    `2+ sqrt3`
    C
    1
    D
    `-(-2-sqrt3)`

    • Similar Questions

    Explore conceptually related problems

    In Figure,the value of x is 12 (b) 15 (c) 20 (d) 30

    In Figure,the value of y is 20^(0) (b) 30^(@) (c) 45^(@) (d) 60^(@)

    The value cos 30^@.cos 60^@ - sin 30^@.sin 60^@ is:

    The sum of 30C_(0)+30C_(4)+30C_(8)+.....+30C_(28) is equal to

    6, 13, 18, 25, 30, 37, 40 (a) 25 (b) 30 (c) 37 (d) 40

    Home
    Profile