CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions
CAT/2003
Question . 27
Twenty-seven persons attend a party. Which one of the following statements can never be true?
A : There is a person in the party who is acquainted with all the twenty-six othersB : Each person in the party has a different number of acquaintancesC : There is a person in the party who has an odd number of acquaintancesD : In the party, there is no set of three mutual acquaintances
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Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question
(b) It can be clearly established that the choices (a) , (c)and (d) may or may not be true. Statement (b) can neverbe true because every person cannot have a differentnumber of acquaintances.