M0IITU12 - P&C qns

M0IITU12 - P&C qns - Permutation & Combinations 1. A...

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. A question paper is divided into two parts A and B and each part contains 5 questions . The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is : (A) 80 (B) 100 (C) 200 (D) None of these 2. If 15 C 3r = 15 C r + 3 , then the value of r is (A) 3 (B) 4 (C) 2 (D) 1 3. 47 C 4 + r = 1 5 52 - r C 3 = (A) 47 C 6 (B) 52 C 5 (C) 52 C 4 (D) None of these 4. If 2n C 3 : n C 2 = 44 : 3, then for which of the following values of r, the value of n C r will be 15 : (A) r = 3 (B) r = 4 (C) r = 6 (D) r = 5 5. There are four balls of different colours and boxes of colours same as those of the balls . The number of ways in which the balls, one in each box, could be placed such that a ball does not go to box of its own colour is : (A) 8 (B) 7 (C) 9 (D) None of these 6. The number of numbers that can be formed with the help of the digits 1, 2, 3, 4, 3, 2, 1 so that odd digits always occupy odd places, is : (A) 24 (B) 18 (C) 12 (D) 30 7. Ten different letters of an alphabet are given . Words with five letters are formed from these given letters . Then the number of words which have atleast one letter repeated is : (A) 69760 (B) 30240 (C) 99748 (D) None of these 8. Eight chairs are numbered 1 to 8 . Two women and three men wish to occupy one chair each . First the women choose the chairs from amongst the chairs marked 1 to 4 and then men select the chairs from amongst the remaining . The number of possible arrangements is : (A) 6 C 3 × 4 C 2 (B) 4 C 2 × 4 P 3 (C) 4 P 2 4 P 3 (D) None of these 9. The number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together is : (A) 360 (B) 900 (C) 1260 (D) 1620 10. In how many ways a garland can be made from exactly 10 flowers ? (A) 10 ! (B) 9 ! (C)
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This note was uploaded on 10/05/2011 for the course MATH 1201 taught by Professor Friesner during the Spring '11 term at St. Mary NE.

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M0IITU12 - P&C qns - Permutation & Combinations 1. A...

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