CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions
Comprehension
Directions for questions: Read the information given below and answer the questions that follow :
The tournament for ABC Cup is arranged as per the following rules: in the beginning 16 teams are entered and divided in 2 groupsof 8 teams each where the team in any group plays exactly once with all the teams in the same group. At the end of this round topfour teams from each group advance to the next round in which two teams play each other and the losing team goes out of thetournament. The rules of the tournament are such that every match can result only in a win or a loss and not in a tie. The winnerin the first round takes one point from the win and the loser gets zero. In case of tie on a position the rules are very complex andinclude a series of deciding measures.
CAT/2000
Question . 51
The maximum number of matches that a team going out of the tournament in the first round itself can win is
Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question
(c) Each team will play 7 matches and so any team canwin any no. of matches between 0 to 7 (i.e. 0, 1, 2, 3, 4, 5,6, 7).
Four teams will be selected (Who win either 7, 6, 5,or 4 matches).
Thus team which wins maximum 3 matches will be out ofthe first round