Permutation and Combination: Set 3

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Permutation and Combination: Set 3

Permutation and Combination Based Questions are important for all competitive exams. We are here with daily sets of Permutation and Combination based questions.

Q1. In how many different ways can the letters of the word ‘DRASTIC’ be arranged in such a way that the vowels always come together?
(a) 720
(b) 360
(c) 1440
(d) 540
(e) None of these

Q2. In how many ways can Ram arrange the letters of the word ALLAHABAD?
(a) 7650
(b) 7560
(c) 6750
(d) 5760
(e) 7660

Q3. How many numbers between 2000 and 3000 can be formed with the digits 0, 1, 2, 3, 4, 5, 6, 7 (repetition of digits not allowed)?
(a) 42
(b) 210
(c) 336
(d) 440
(e) 120

Q4. In how many ways can a person sent invitation cards to 6 of his friends if he has four servants to distribute the cards?
(a) 6⁴
(b) 4⁶
(c) 24
(d) 120
(e) 36

Q5. A captain and a vice captain are to be chosen out of a team having eleven players. How many ways are there to achieve this?
(a) 10.9
(b) ¹¹C₂
(c) 110
(d) 10.9!
(e) 11.10!