Home
Class 11
MATHS
Assertion (A) : Every body in a room ...

Assertion (A) : Every body in a room shakes hands with everybody else. The total number of persons in the room is n . The number of hand shakes is `( n (n-1))/2`
Reason ( R) : The number of handshakes is ` .^(n) C_(2)`

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not the correct explanation of A

C

A is true R is false

D

A is false R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - B)|4 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - C)|6 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.5|25 Videos
  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is

Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is ……….. .

Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is …………….. .

There are n married couples at a party. Each person shakes hand with every person other than her or his spouse. Find the total m of hand shakes.