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.

There are 15 persons in a party and if each 2 of then shakes hands with each other , how many handshakes happen in the party ?

If there are 12 persons in a party and each of them shake hands with all others, what is the total number of handshakes?

(i) A kabaddi coach has 14 players ready to play. How many different teams of 7 players could the coach put on the court? (ii) There are 15 persons in a party and if , each 2 of them shakes hands wit each with each other. How many handshakes happen in the party? (iii) How many chords can be drawn through 20 points on a circle? (iv) In a parking lot one hunderd, one year old cars are parked. Out of them five are to be chosen at random for to check its pollution devices. How many different set of five cars are possible? (v) How many ways can a team of 3 boys, 2 girls and 1 transgender be selected from 5 boys, 4 girls and 2 transgender?

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 ……….. .

Two persns each of mass m are standing at the two extremes of a railroad car of mas M resting on a smooth track figure. The person on left jumps to the left with a horizontal speed u with respect to the state f the cr before the jump. Threafter, the other person jumps to the right, again with the same horizontl speed u with respect to teg state of the car before his jump. Find the vellcity of the car after both the person hae jumped off.

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 …………….. .