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 136medium
In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come together?
Question 137hard
A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the draw?
Question 138easy
Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many different ways can it be done?
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Question 139medium
In how many different ways can the letters of the word BANANA be arranged?
Question 140medium
A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?
Question 141medium
In how many different ways can the letters of the word ENGINEERING be arranged?
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Question 142hard
In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the odd positions?
Question 143medium
In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
Question 144easy
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?