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Chapter - 5, , Permutation & Combinations, , MULTIPLE CHOICE QUESTIONS (MCQ), , , , Note : Pick up the correct answer from the following,, , 4., , The number of ways in which 7 boys sit in a round table so that no two particular boys may sit, together is, , (a) 480 (b) 240 (c) 720 (d) None of these, , There are 4 boy students and 3 girl students to dine at a round table. In how many ways can they, sit themselves so that no two girl students are together, , (a) 576 (b) 144 (c) 36 (d) None of these, , Six persons A, B, C, D, E and F are to be seated at a circular table. In how many ways can this be, done, if A must always have either B or C on his right and B must always have either C or D on his, right, , (a) 18 (b) 216 (c) 72 (d) None of these, , 3 ladies and 3 gents can be seated at a round table so that any two and only two of the ladies sit, together. The number of ways is, , (a) 13 (b) 24 (c) 72 (d) None of these, , How many four digit numbers can be arranged out of the digits 1, 2, 3, 4, 5, 6, 7. (If each digit is, used exactly once), , (a) 408 (b) 480 (c) 840 (d) None of these, , Find the three digit number greater than 300 that can be formed with the digits 2, 3, 4, 5,6, , (a) 60 (b) 48 (c) 240 (d) None of these, , Find the numbers greater than 2000 that can be formed from the digits 1, 2, 3, 4, 5, , (a) 216 (b) 126 (c) 96 (d) None of these

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10., , 11., , 12., , 13., , 14., , 15., , 16., , 17., , The number of numbers lying between 100 and 1000 can be formed with the digits 1, 2, 3, 4, 5, 6,7, is, , (a) 120 (b) 210 (c) 1050 (d) None of these, , The number of numbers lying between 10 and 1000 can be formed with the digits 2, 3, 4, 0, 8, 9is, , (a) 225 (b) 125 (c) 100 (d) None of these, , The number of 6 digit numbers formed with the digits 1, 1, 2, 3, 4, 4 is, , (a) 720 (b) 180 (c) 360 (d) None of these, , The number of 5 digits greater than 34,000 can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8 is, , (a) 600 (b) 4200 (c) 4800 (d) None of these, , Find the numbers less than 1000 and divisible by 5, which can be taken from the digits 0, 1, 2, 3, 4,, 5, 6, 7, 8,9, , (a) 154 (b) 144 (c) 145 (d) None of these, , How many numbers greater than a million that can be formed with the digits 4, 5, 6, 0, 4, 5, 3, , (a) 420 (b) 60 (c) 360 (d) None of these, , Find the number of numbers that can be formed by the digits 1, 2, 3, 4, 5, 3, 2,1 by placing the odd, digits at odd places, , (a)9 (b) 18 (c) 216 (d) None of these, , The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, Sis, (a) 110 (b) 114 (c) 112 (d) None of these, How many even numbers of four digits can be formed with the digits 0, 1, 2, 3, 4, 5 and 6, , (a) 120 (b) 300 (c) 420 (d) None of these, , How many telephone connections may be allotted with 8 digits from the numbers 0, 1, 2, 3, 4, 5, 6,, 7, 8,9

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18,, , 19., , 21., , 22., , 23., , 25., , (a) 9x 10° (b) 10° (c)9x 10" (d) None of these, , How many 4 digit numbers less than 5000 that can be formed with the digits 2, 3, 4, 5, 6,6, , (a) 180 (b) 240 (c) 300 (d) None of these, , Compute the sum of four digit numbers, which can be formed with the four digits 2, 4, 6, 8, , (a) 123330 (b) 133320 (c) 13320 (d) None of these, , Compute the sum of five digit numbers, which can be formed with the fine digits 1, 2, 3, 4, 5, , (a) 3999960 (b) 399960 (c) 3699990 (d) None of these, , The number of arrangements of 10 different things taken 4 at a time in which two particular things, always occurs is, , (a) 1680 (b) 1344 (c) 224 (d) None of these, , The number of permutations of 10 different things taken 4 at a time in which two particular things, never occurs is, , (a) 224 (b) 1680 (c) 1344 (d) None of these, , In how many ways can the letters of the word ‘MONDAY’ be arranged ? How many of them begin, with M and end with Y. How many of them do not begin with M but end with Y., , (a) 720, 24, 96 (b)120, 24, 96 (c) 720, 96, 24 (d) None of these, , The number of different factors the number 75600 has is, , (a) 118 (b) 120 (c) 119 (d) None of these, , Five bulbs of which three are defective are to be trialed in two light points in a dark room. The, number of trials the room shall be lighted, , (a) 10 (b)7 (c)3 (d) None of these, , Out of six teachers and four boys, a committee of 8 is to be formed. In how many ways can this be, done when there should not be less than 4 teachers in the committee, , (a) 45 (b) 114 (c) 114 (d) None of these

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Hv., , 32., , 33., , In how many ways can a team of 11 cricketers be chosen from 8 batsman and 6 bowlers to give a, majority of batsman if at least 3 bowlers are to be included, , (a) 1224 (b) 1422 (c) 1242 (d) None of these, , A committee of 5 members is to be selected from among 6 boys and 5 girls. The number of ways of, selecting the committee, if it is to consist of at least 1 boy and 1 girl, , (a) 454 (b) 545, (c) 455 (4) None of these, , A committee of 6 members is to be chosen from 5 C.A., 4 Economist and 3 Cost Accountants. The, number of ways can this be done if in the committee there must be at least one member from each, group and at least 3 C.A. is, , (a) 600 (b) 360 (c) 620 (d) None of these, , an examination paper consists of 12 questions divided into parts A and B. Part A contains 7, questions and part B contains 5 question. A candidate is required to attempt 8 questions selecting, at least 3 from each part. The number of maximum ways can the candidate select the question is :, , (a) 140 (b) 240 (c) 420 (d) None of these, , In a paper from 2 groups of 5 questions each you have to answer any 6 questions attempting at 2, questions from each group. This is possible in ............ ways, , (a) 200 (b) 155 (c) 105 (d) None of these, , Aman has 7 relatives, 4 of them are ladies and 3 are gentlemen. His wife has also 7 relatives, 3 of, them are ladies and 4 are gentlemen. The number of ways can they invite a dinner party of 3 ladies, and 3 gentlemen so that there are 3 man’s relatives and 3 wife’s relatives is, , (a) 485 (b) 584 (c) 458 (d) None of these, , Out of 10 electric bulbs three are defective but it is not known which are defective. In how many, ways three bulbs can be selected. How many of these selections will include at least one defective, bulbs., , (a) 100, 85 (b) 120, 85 (c) 85, 120 (d) None of these, , In an election, a voter may vote for any number of candidates not greater than the member to be, chosen. There are seven candidates and four members are to be chosen. The number of ways can, a person vote is

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35., , 37., , 39., , 41., , 42., , (a) 70 (b) 89 (c) 98 (d) None of these, , How many combinations can be formed of 8 counters marked 1, 2, 3, 4, 5, 6, 7, 8 taking them 4 ata, time, there being at least one odd and one even counter in each combination, , (a) 80 (b) 86 (c) 68 (d) None of these, , A person has 7 friends. The number of ways in which he may invite one or more of them to a dinner, is, , (a) 129 (b) 127 (c) 128 (d) None of these, , The number of ways a person can contribute to a fund out of one ten-rupee note, one five-rupee, note, 1 two-rupee note and 1 one-rupee note is, , (a) 15 (b) 16 (c) 8 (d) None of these, , Given five different green dyes, four different black dyes and three different white dyes. The number, of combination of dyes can be chosen taking one or more green dyes and one or more black dyes, is, , (a) 54 (b) 3720 (c) 3270 (d) None of these, , In how many different ways can the Supreme Court give a6 to 3 decision up-holding a lower Court., In how many ways can it give a majority decision reversing a lower Court., , (a) 256 (b) 172, 84 (c) 84, 172 (d) None of these, , A Supreme Court bench consist of 5 Judges. In how many ways, the bench can give a majority, decision. Also calculate the way of negation not affecting the decision., , (a) 16, 15 (b) 15, 16 (c) 16, 16 (d) None of these, , The number of different words that can be formed with 12 consonants and § vowels by taking 4, consonants and 3 vowels in each word is, , (a) 12,, x5¢, (b) 17, (c) 4950 x 7! (d) None of these, , Eight guests have to be seated, 4 on each side of a long rectangular table, 2 particular guests desire, to sit on one side of the table and 3 others on the another side. The number of ways in which the, selection can be made is, , (a) 4 (b) 3 (c)5 (d) None of these