Home
Class 11
MATHS
Evaluate the following: \ ^(14)C3...

Evaluate the following: `\ ^(14)C_3`

A

2184

B

364

C

728

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`=>\ ^(14) C_3 `
`=>(14!)/(3!(14-3)!)`
`=>(14!)/(3!11!)`
`=>(14**13**12**11!)/(6**11!)`
`=>364`
Promotional Banner

Topper's Solved these Questions

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos
  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: (i) .^(10)C_(5) (ii) .^(12)C_(8) (iii) .^(15)C_(12) (iv) .^(n+1)C_(n) (v) .^(14)C_(9)

Evaluate the following 126div(-14)

Evaluate the following:1. (-8)+(-14) 2. -35+(-47 ) 3. 91+(-48)

Evaluate the following: |[42,1,6],[28,7,4],[14,3,2]|

Evaluate the following: |[a,b,c],[a^2, b^2, c^2],[a^3, b^3, c^3]|

.Find the cube of the following: 14^3

If ‘A’ stands for ‘subtraction’, ‘B’ stands for ‘multiplication’, ‘C’ stands for ‘addition’, and D stands for ‘Division’ , then what is the value of the following expression? 43 C 29 B 3 A 14 B ( 5 C 4) C 11 C( 14 A 3) A 64 D 8 B 2

Using elementary transformations, find the inverse of the following matrix [(2,-1,4),(4,0,2),(3,-2,7)]

Find the modal item of the following set of numbers: 11,19,14,13,14,16,14,16,11,16

If A=[[5,1],[6,7]], B=[[2,1],[3,4]],C=[[1,3],[-1,4]] , verify the following (A\')\'=A