Arjuna JEE 2025 Maths Permutations and Combinations PDF

JEE Arjuna JEE 2025 Maths...

JEE Arjuna JEE 2025 Maths DPP: 1 Permutations and Combinations Q1 There are 10 true-false questions in an Q6 If repetitions are not permitted,from the six digits examination. Then these questions can be 2, 3, 5, 6, 7 and 9. answered in (i) how many 3-digit numbers can be formed (A) 240 ways (B) 20 ways (ii) how many of these are less than 400. (C) 1024 ways (D) 100 ways (iii) how many are even. (iv) how many are odd. Q2 A man has 3 jackets, 10 shirts and 5 pair of (v) how many are multiples of 5. slacks. If an outfit consists of a jacket, a shirt, and a pair of slacks, the different outfits can the man Q7 Four dice are rolled. The number of possible out make, is comes in which at least one die show 6 is (A) 120 (B) 150 (A) 671 (B) 168 (C) 180 (D) 210 (C) 176 (D) 650 Q3 Number of 3-digit numbers that can be formed Q8 Number of odd numbers of five distinct digits having unit digit as zero and repetition of digit is can be formed with the digits 0, 1, 2, 3. 4, is allowed, is (A) 24 (B) 120 (A) 72 (B) 81 (C) 48 (D) 36 (C) 100 (D) 90 Q9 The number of integers greater than 6000 that Q4 How many numbers greater than 50000 can be can be formed, using the digits 3, 5, 6, 7 and 8 formed with the digits 4, 5, 6, 7 and 8 if no digit without repetition, is being repeated? (A) 120 (B) 72 (A) 96 (B) 256 (C) 216 (D) 192 (C) 218 (D) 126 Q10 3 different railway passes are allotted to 5 Q5 There are 6 roads between A and B and 4 roads students, the number of ways this can be done is between B and C. (A) 60 (B) 20 (i) In how many ways can one drive from A to C (C) 15 (D) 10 by way of B ? Q11 The number of four-digit numbers are there (ii) In how many ways can one drive from A to C which are divisible by 2, is and back to A, passing through B on both trips? (A) 9000 (B) 4000 (iii) In how many ways can one drive the circular (C) 4500 (D) 1000 trip described in (ii) without using the same road more than once. Q12 Android App | iOS App | PW Website  JEE The number of ways in which 5 letters be mailed, if there are 3 different mailboxes available, if each letter can be mailed in any mailbox, is (A) 81 (B) 243 (C) 60 (D) 125 Q13 Find the number of ways in which one can post 5 letters in 7 letter boxes. Q14 A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there? Q15 How many different signals can be given using any number of flags from 4 flags of different colours? (A) 32 (B) 48 (C) 64 (D) 120 Q16 The number of nine non-zero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is (A) 48 (B) 7560 (C) 10080 (D) 576 Q17 Find the total number of 9 digit numbers which have all the digits different (A) 9 × 9! (B) 9! (C) 10! (D) None of these Q18 If repetition of digits is not allowed how many numbers of four digits divisible by 5 can be formed with the digits 0, 4, 5, 6, 7 (A) 40 (B) 44 (C) 42 (D) 36 Android App | iOS App | PW Website  JEE Answer Key Q1 (C) Q8 (D) Q2 (B) Q9 (D) Q3 (D) Q10 (A) Q4 (A) Q11 (C) Q5 (i) 24 Q12 (B) (ii) 576 Q13 75 (iii) 360 Q14 8 Q6 (i) 120, (ii) 40, Q15 (C) (iii) 40, Q16 (D) (iv) 80, (v) 20 Q17 (A) Q7 (A) Q18 (C) Android App | iOS App | PW Website