2 How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ? A) 40 B) 400 C) 5040 D) 2520
3 How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI', using each letter exactly once ? A) 10 B) 25 C) 60 D) 120
4 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
5 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
6 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
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 'CORPORATION' be arranged so that the vowels always come together ? A) 810 B) 1440 C) 2880 D) 50400 E) 5760
9 In how many ways can a group of 5 men and 2 women he made out of a total of 7 men and 3 women ? A) 63 B) 90 C) 126 D) 45 E) 135
10 In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women ? A) 266 B) 5040 C) 11760 D) 86400 E) None of these
11 From a group of 7 men and ,6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways car. it be done ? A) 564 B) 645 C) 735 D) 756 E) None of these
12 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
13 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
14 In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together ? A) 3990 B) 1540 C) 1995 D) 3672 E) None of these
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