Permutation and Combination MCQs

185 questionsArithmetic-AbilityPage 18 of 21

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 154hard
A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have at least 1 man?
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Question 155hard
In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
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Question 156easy
In how many different ways can the letters of the word TOTAL be arranged?
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Question 157easy
In how many different ways can the letters of the word SMART be arranged?
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Question 158hard
$$\left( {{}^{75}{P_2} - {}^{75}{C_2}} \right) = ?$$
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Question 159easy
In how many different ways can the letters of the word ABSENTEE be arranged?
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Question 160medium
In how many different ways can the letters of the word OPERATE be arranged?
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Question 161easy
In how many ways can a committee of 4 people be chosen out of 8 people?
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Question 162medium
In how many different ways can the letters of the word EXTRA be arranged so that the vowels are never together?
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