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Chapter - 5, , Permutation & Combinations, , , , MULTIPLE CHOICE QUESTIONS (MCQ), , Note : Pick up the correct answer from the following,, 1. 160 l3.n-1,, the value of n is:, (a) 13 (b) 15 (c) 14 (d) None of these, , 2 if 54, =6.5, . the value of ris :, , (a) 4 (b) 8 (c)3 (d) None of these, 3 If 5, = 60, the value of ris, (a) 3 (b) 4 (c) 5 (d) None of these, , 4 ifn, cn, =3:1, the value of n is :, , (a) 4 (b) 5 (c)7 (d) None of these, 5 ifn, :n+4, =3:4, the value of nis, , (a) 15 (b) 16 (c) 17 (d) None of these, 6 if 56, 54, = 30800, the value of r is :, , (a) 41 (b) 51 (c) 61 (d) None of these, 7. The value of 9, +3.9,, Is equal to :, , (a) 9, (b) 10, (c) 11, (d) None of these, , 8. ifm+n,, - S6andm~—n,, = 30, then m and n are equal to :, , (a) 6,2 (b) 7,1 (c) 4,4 (d) None of these, , 9. If six times the number of permutation of n things taken 3 together is equal to seven times the, number of permutation of (n — 1) things chosen 3 at a time. The value of n is equal to, , (a) 20 (b) 19 (c) 21 (d) None of these

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10. Ina group of boys the number of arrangement of 4 boys is 12 times the number of arrangements, of 2 boys. The number of boys in the group is, , (a) 10 (b) 8 (c)6 (d) None of these, , 11. How many words with or without meaning can be formed by using all the letters of word NUMBER,, using each letter exactly once, , , , , , (a) 720 (b) 120 (c) 36 (d) None of these, , 12. 4 digit number to be formed out of the figures 0, 1, 2, 3, 4 (no digit is r of, such number is, (a) 120 (b) 20 (c) 96 (d) se, , 13. The number of ways the letters of the word ‘Triangle’ to be the word ‘angle’ will be, always presort is, (a) 20 None of these, , 14. Se oe on Dand 's in which A will speak always before B, (a) 24 (b) 41.2! st / (d) None of these, , 15. Aletter lock has three rings d with 10 different letters. In how many ways it is possible, to make an un: 1 ttemp pon the lock, (a) 999 (c) 799 (d) None of these, , 16. How many di can be given using number of flags from 5 flats of different colours, , 320 (c) 225 (d) None of these, , , , 17. In Keene ways can the letters of the word ‘KURUKSHETRA’ be arranged, , (a) 4998600 (b) 4989600 (c) 4899600 (d) None of these, , 18. In how many ways can 5 Accountancy, 4 Mathematics and 3 Law books be arranged on a shelf. if, the book of each language are to be together., , (a) 17280 (b) 130680 (c) 103680 (d) None of these

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19., , The letters of the words CALCUTTA and AMERICA are arranged in all possible ways. The ratio of, the numbers of these arrangements is, , (a) 1:2 (bo) 2:1 (c)2:2 (d) None of these, , In how many ways can two 10 paise, two 25 paise, three 50 paise and 2 one can be, distributed among 9 children, so that each child gets only one coin, , (a) 7450 (b) 7550 (c) 7560 (d) None of these, , The number of ways in which 12 students can be equally divided into, , (a) 5775 (b) 7565 (c) 7575, , The number of ways in which 15 mangoes can be equally, , 15! 15! 15! jy, — None of the:, , (a) er {b) ie 1 Bo lone se, In how many ways can 15 things be ree groups containing 8, 4 and 3 things, respectively., (a) 15 (b) 151 (71 (6) None of these, , 8141.3!, en be arranged, so that the best and worst books never come, (a) 8! é ‘ (c) 7! (d) None of these, , 's of the letters in the word ‘failure’ so that vowels are always coming, , (a) 5 (b) 575 (c) 570 (d) None of these, , inteirinnyeee Benes ‘Arrange’ be arranged, such that ‘2 r’ comes together, , (a) 400 (b) 440 (c) 360 (d) None of these, , The number of ways in which n books can be arranged on a shelf, so that two particular books are, not together is

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3., , , , (a) (n- 2) (n- 1)! (b) (n- 2). (n- 1)! (c) (nL. (n-1) (d) None of these, In how many ways can the letter of the word ‘EXACTLY’ be arranged, so that, (i) the vowels are never separated, , (ii) the vowels never come together, , (ili) the vowels occupy only the odd places, , (a) (i) 1440 (i) 5040 (ili) 1440 (b) (i) 1440 (i) 3600 (iii) 1440, , (c) (i) 120 (ii) 5040 (ili) 1440 (d) None of these 9, in how many ways can the letters of the word ‘STRANGE’ be arranged, may, occupy, only the even places, , (a) 360 (b) 120 (c) 720 (d) No, , The number of ways in which the letters of the word ‘ , $0 that consonants, always occupy the odd places is, , (a) 36 (b) 63 (c) 30 (d) None of these, , The number of words that can be mai of the word “APURNA’ so that, vowels and consonants appear al, , (a) 18 (b) 3% (c) P (d) None of these, , Seven candidates are to take jon, 2 in Maths, the remaining in different subjects. In how, many ways can they be si i that two examinees in Maths may not sit together, , (a) 360 é (c) 3060 (d) None of these, , In how many of the word ‘ACCOUNTANT’ be arranged. In how many of them,, vowels are al, , 2,26,800; 15,120 (c) 2,26,800; 7,560 (d) None of these, , of 9 digit numbers of different digits is, , (b) 8.9! (c) 9.9! (d) None of these, , A family of 4 brothers and 3 sisters is to be arranged for a photograph in a row. In how many ways, can they be seated, , (i) all the sisters sit together, , (li) no two sisters sit together

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(a) 720, 1440 (b) 576, 1440 (c) 720, 144 (d) None of these, 36. In total number of ways in which six ‘+’ and four '~' signs occur together is, , = (b) 45 (35 (@) None of these, , 37. The Chief Ministers of 25 States of India met at Dethi to discuss the problem of ri, many ways can they seat themselves at a round table if the Orissa and Bihar C., , together, , (a) 23!.2! (b) 24!,2! (c) 251.2! (d) None, , 38. In how many can 5 beads of different colours form a, , (a) 24 o) (56 these, , , , 2, 39. 5 persons are sitting in a round table, side of the shortest person, the numb is, (a)6 (b) 18 (d) None of these, , 40. In how many ways can 7 p, , in any arrangements, , (a) 720 ) (c) 5040 (d) None of these, 41. The value of 12, +12, to, , (a) 5 5 (c) 175 (d) None of these, 42. v- lue of n. is equal to, , (a) 91 (b) 89 (c) 90 (d) None of these, , 43. If 10, =10, |, the value of n, is equal to, , (a)7 (bo) 5 (c) 10 (d) None of these, , person is always on the right, , 80 that all shail not have the same neighbours