(chatquestion)...(A) 30 (B) 60 (C) 90 (D) 120 4. The number of ways in which 3 numbers can be belected from first 45 natural numbers such that they are in arithmetic progression, is - (A) C, (B) "C, + "C, (C) "C, + "C, (D) "C, + "C, 5. Let there are 5 apples (3 alike and 2 different), 4 mangoes (2 alike and 2 different) and 3 guavas (all different). The number of ways in which all of these fruits can be distributed between two children equally and each having exactly two identical fruits - (A) 35 (B) 70 (C) 105 (D) 140 Let 13 seats in a straight line are to be occupied by 4 persons. The number of ways in which there should be exactly four empty seats and no other person between two particular persons is- 6. (C) 16CC) (A) 15('C,) (B) 30(°C,) (D) 32('C,) Let A = {a, a2, d3 The number of ways in which subsets can be formed such that (P-Q) contains exactly 2 elements, is .} be a set containing n elements. Two subsets P & Q of it is formed independently. 7. %3D (C) "C, 2" (D) None of these (B) "C, 3"-2 (A) "C, 2"-2 The number of arrangements of the letters of the word SATAYPAUL such that no two A are together and 8. middle letter is consonant, is (D) (60) x 5! (C) 5!4! (B) 5!6! (A) (5!) be formed from the letters of word MAYANK' such that

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