JEE 2020 Mathematics : Permutation and Combination-02

Two teams are to play a series of 5 matches between them. A match ends in a win or loss or draw for a team. Some people forecast the result of each match and no two people make the same forecast for the series of matches. The smallest group of people in which a person forecasts correctly for all the matches will contain n people, where n is

Total number of four-digit numbers having all different digits, is equal to

The number of ways in which 6 men can be arranged in a row so that three men are standing consecutive, is

Total number of ways in which a person can put 8 different rings in the fingers of his right hand is equal to:

Value of expression ⁴⁷C₄ +  is equal to

A convex polygon has 44 diagonals. The number of its sides is equal to:

Everybody in a room handshake with everybody else. The total number of hand shake is equal to 153. The total number of persons in the room is equal to:

Number of triangles that can be formed joining the angular points of decagon is