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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 × 10 ^{3} 2) 3386.88 × 10^{2} 3) 3386.88 × 10^{4} 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*