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M.K. MATHEMATICS (M.:8826181724), , CLASS:-XI, , Linear Inequality, , PRACTICE EXERCISE 7.1, Q.1 Find the number of 4 letter words, with or without meaning, which can be, formed out of the letters of the word ROSE, when, (i) the repetition of the letters is not allowed., (ii) the repetition of the letters is allowed., Q.2 The flag of a newly formed forum is in the form    of three blocks, each, to be coloured differently. If there are six different colours on the whole to, choose from, how many such designs are possible ?, Q.3 A room has 6 doors. In how many ways can a man enter the room through, one door and come out through a different door ?, Q.4 Find the number of different signals that can be generated by arranging at, least 2 flags in order (one below the other) on a vertical staff, if five different, flags are available., Q.5 In a monthly test, the teacher decides that there will be three questions,, one from each of Exercise 7, 8 and 9 of the text book. If there are 12 questions, in Exercise 7, 18 in Exercise 8 and 9 in Exercise 9, in how many ways can three, questions be selected ?, Q.6 How many words (with or without meaning) of three distinct letters of the, English alphabets are there ?, Q.7 Find the total number of ways of answering 5 objective type questions,, each question having 4 choices., Q.8 How many three-digit numbers can be formed without using the digits 0,, 2, 3, 4, 5 and 6 ?, Q.9 How many numbers are there between 100 and 1000 in which all the, digits are distinct ?, Q.10 How many numbers are there between 100 and 1000 such that every, digit is either 2 or 9?, , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2nd FLOOR, , Page 1

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M.K. MATHEMATICS (M.:8826181724), , CLASS:-XI, , Linear Inequality, , Q.11 How many numbers are there between 100 and 1000 such that 7 is in the, unit's place., Q.12 How many numbers are there between 100 and 1000 such that at least, one of their digits is 7 ?, Q.13 In how many ways can 5 letters be posted in 4 letter boxes ?, Q.14 How many 4-digit numbers are there, when a digit may be repeated any, number of times?, Q.15 In how many ways can 3 prizes be distributed among 4 boys, when, (i) no boy gets more than one prize ?, (ii) a boy may get any number of prizes ?, (iii) no boy gets all the prizes ?, , ANSWER, 1. 256, , 2. 120, , 3. 5 ways, come out through is 30, , 4. 320, , 5. 1944, , 6. 15600, , 7. 45, , 8. 64, , 9. 15. 648, , 10. 16. 8, , 11. 17. 90, , 12. 18. 252, , 13. 45, , 14. 9000, , 15. (i) 24 (ii) 64 (iii)60, , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2nd FLOOR, , Page 2