If at the end of a certain meeting,everyone h | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $n$ be the number of members in the meeting.Since every person shakes hands with every other person exactly once,the total number of handshake

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) Let $n$ be the number of members in the meeting.Since every person shakes hands with every other person exactly once,the total number of handshakes is given by the combination formula ${}^{n}C_{2}$.Given that the total number of handshakes is $45$,we have:${}^{n}C_{2} = 45$$\frac{n(n-1)}{2} = 45$$n(n-1) = 90$$n^2 - n - 90 = 0$$(n - 10)(n + 9) = 0$Since the number of members $n$ must be positive,we have $n = 10$.Therefore,the number of members present at the meeting is $10$.

If at the end of a certain meeting,everyone had shaken hands with everyone else,and it was found that $45$ handshakes were exchanged,then the number of members present at the meeting is:

Similar Questions

$A$ village has $10$ players. $A$ team of $6$ players is to be formed. $5$ members are chosen out of these $10$ players and then the captain is chosen from the remaining $5$ players. The total number of ways of choosing such a team is:

In how many ways can one select a cricket team of $11$ from $17$ players in which only $5$ players can bowl,if each cricket team of $11$ must include exactly $4$ bowlers?

If $^{15}C_{3r} = ^{15}C_{r+3}$,then the value of $r$ is

If a person has $3$ coins of different denominations,the number of different sums that can be formed is

In how many ways can we select any $4$ letters from the word $CORGOO$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module