Permutation and Combination MCQs
Practice free Permutation and Combination multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 185 questions — no login required.
Question 19medium
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
Question 20medium
Find the number of ways in which 8064 can be resolved as the product of two factors?
Question 21easy
The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?
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Question 22hard
A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?
Question 23hard
If $$5{ \times ^{\text{n}}}{{\text{P}}_3} = 4{ \times ^{\left( {{\text{n}} + 1} \right)}}{{\text{P}}_{3,}}$$ find n?
Question 24easy
Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:
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Question 25hard
12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
Question 26medium
How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?