UGC NET Questions (Paper – 1)

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U5 – Mathematical Reasoning and Aptitude
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Concepts: arrangements with repetition combinations counting principles order importance permutations UGC NET aptitude

Q: Which of the following statements about permutations and combinations with or without repetition are correct?

(A) The number of permutations of n distinct objects taken r at a time is nPr = n!/(n βˆ’ r)!;
(B) The number of combinations of n distinct objects taken r at a time is nCr = n!/[r!(n βˆ’ r)!];
(C) When repetition of objects is allowed, the number of r-length arrangements from n distinct objects is nΚ³;
(D) When repetition is not allowed, the number of r-length arrangements from n distinct objects is rⁿ;
(E) In many UGC NET questions, candidates must decide whether order is important before choosing permutation or combination formulas;
Choose the correct answer from the options given below:

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