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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 3. 47 C 4 + r = 1 5 52 - r C 3 = 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 : 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 : 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 : 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 : × 4 P 3 4 P 3
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