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 118hard
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Question 119medium
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Question 120easy
20 men handshake with each other without repetition. What is the total number of handshakes made?
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Question 121easy
In how many different ways can the letters of the word OPERATE be arranged ?
Question 122hard
Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a women. In how many different ways can it be done ?
Question 123medium
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women ?
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Question 124easy
In how many different ways can the letters of the word GAMBLE be arranged?
Question 125medium
In how many different ways can the letters of the word RUMOUR be arranged?
Question 126hard
In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always come together?