1 In how many ways can the letters of the word 'APPLE' be arranged ? A) 720 B) 120 C) 60 D) 180 E) None of these
2 In how many ways can the letters of the word 'LEADER' be arranged ? A) 72 B) 144 C) 360 D) 720 E) None of these
3 How many words can be formed from the letters of the word 'SIGNATURE' so that the vowels always come together ? A) 720 B) 1440 C) 2880 D) 3600 E) 17280
4 In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels a4ways come together ? A) 120 B) 720 C) 4320 D) 2160 E) None of these
5 In how many different ways can the letters of the word 'SOFTWARE' be arranged in such a way that the vowels always come together ? A) 120 B) 360 C) 1440 D) 13440 E) 720
6 In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together ? A) 360 B) 480 C) 720 D) 5040 E) None of these
7 In how many different ways can the letters of the word 'JUDGE' be arranged in such a way that the vowels always come together ? A) 48 B) 120 C) 124 D) 160 E) None of these
8 In how many different ways can the letters of the word 'AUCTION' be arranged in such a way-that the vowels always come together ? A) 30 B) 48 C) 144 D) 576 E) None of these
9 In how.many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ? A) 810 B) 1440 C) 2880 D) 50400 E) 5760
10 In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ? A) 10080 B) 4989600 C) 120960 D) None of these
11 In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions ? A) 32 B) 48 C) 36 D) 60 E) 120
12 In how many different ways can the letters of the word 'MACHINE' be arranged so that the vowels may occupy only the odd positions ? A) 210 B) 576 C) 144 D) 1728 E) 3456
13 A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways^can 3 balls be drawn from the box, if at least one black ball is to be included in the draw ? A) 32 B) 48 C) 64 D) 96 E) None of these
14 How many 3-digit numbers can be formed from the digits 2, 3, 5,6, 7 and 9, which are divisible by 5 and none of the digits is repeated ? A) 5 B) 10 C) 15 D) 20
15 Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ? A) 210 B) 1050 C) 25200 D) 21400 E) None of these
