1 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
2 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
3 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
4 In how many different ways can the letters of the word 'RUMOUR' be arranged ? A) 180 B) 90 C) 30 D) 720 E) None of these
5 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
6 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
7 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
8 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
9 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
10 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
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 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
13 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) 159 B) 194 C) 205 D) 209 E) None of these
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
