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Permutation & Combination Quiz For Upcoming Exams

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Q1. In how many different ways can the letters of the word “SCHOOL” be arranged?

(1) 720                         (2) 360                         (3) 180                         (4) 120                         (5) 60

 

Q2. If a total of nine students appear in an examination, in how many ways can the result be

announced?

(1) 1024           (2) 512                         (3) 256                         (4) 2048           (5) 128

 

Q3. How many numbers between 300 and 800 can be made by using digits 2,4,5,6 and 0?

(1) 36               (2) 72               (3) 144                         (4) 108                         (5) None of these

 

Q4. From a group of 8 boys and 6 girls, in how many ways can a group of 5 be chosen so as to include at least one girl?

(1) 240                         (2) 1260           (3) 1720           (4) 1840                       (5) 1946


Q5. How many different arrangements can be made from the letters of the word WEDNESDAY” such that all vowels come together?

(1) 7560           (2) 15120         (3) 2520           (4) 5040           (5) None of these


Q6. In a party, every member shakes hands with every other member. If the total number of

handshakes is 561, how many members are there in the party?

(1) 36               (2) 35               (3) 34               (4) 33               (5) 32


Q7. How many different words can be formed with the letters of the word ‘HINDUSTAN’ so that all the vowels come together?

(1) 30240         (2) 15120         (3) 7560           (4) 362880       (5) 181440

 

Q8. In a group of 12 persons, 5 are females. In how many different ways can they sit in a row so that no two females sit together?

1) 3386.88 × 103         2) 3386.88 × 102         3) 3386.88 × 104         4) 3386.88       5) None


Q9. In how many different ways can the letters of the word THERAPY’ be arranged so that the vowels never come together ?

(1) 720                         (2) 1440           (3) 5040           (4) 3600           (5) 4800


Q10. How many numbers between 300 and 1000 can be made with the digits 1, 2, 3, 4, 5, 6, 7 and 0?

(1) 280                         (2) 210                         (3) 5040           (4) 300                         (5) None of these

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