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 109hard
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Question 110easy
In how many ways can the letters of the word 'LEADER' be arranged?
Question 111hard
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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Question 112hard
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Question 113medium
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Question 114hard
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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Question 115hard
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Question 116easy
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?
Question 117easy
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?