(chatquestion)...hese PERMUTATIONS 231. The number of permutation of n different things 24 taking r at a time when 3 particular things are to be included is (a) P (b) "P, (c) "P,-3 (d) r! P, 232. The number of five- digit telephone numbers having at least one of their digits repeated is (a) 90000 (b) 100000 (c)30240 (d)69760 23 The number of words that can be formed out of the letters of the word "ARTCLE" so that vowels occupy even place is (a) 574 234. The number of words from the letters of the word BHARAT' in which B and H will never come together, is (b) 36 (c) 754 (d) 144 (a) 360 (b) 240 (c) 120 (d) none of these 20. The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is 1) (a) 4! x 3! (b) 4! (c) 3! × 3! (d) none of these 2 236. A 5-digit number divisible by 3 is to be formed using the digits 0, 1,2,3,4 and 5 without repetition The total number of ways in which this can be done is (a)216 237. (d) 3125 itive integer is (b) 600 (c) 240

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