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 'APPLE' be arranged ? A) 720 B) 120 C) 60 D) 180 E) None of these
4 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
5 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
6 How many words can be formed by using all the letters of the word, 'ALLAHABAD' ? A) 3780 B) 1890 C) 7560 D) 2520 E) None of these
7 How many arrangements can be made out of the letters of the word 'ENGINEERING' ? A) 277200 B) 92400 C) 69300 D) 23100 E) None of these
8 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
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 '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 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
14 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
15 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