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1. 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?
32 | 48 | 36 | 60 |
2. 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?
32 | 48 | 64 | 96 |
3. 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?
5 | 10 | 15 | 20 |
4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210 | 1050 | 25200 | 21400 |
5. In how many ways can the letters of the word LEADER be arranged?
72 | 144 | 360 | 720 |
6. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
720 | 360 | 1420 | 1680 |
7. In how many different ways can the letters of the word LEADING be arranged in such a way that the vowels always come together?
360 | 480 | 720 | 5040 |
8. An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?
100 | 80 | 110 | 64 |
9. In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?
2880 | 1400 | 1200 | 3212 |
10. How many words can be formed by using all letters of the word BIHAR?
720 | 24 | 120 | 60 |
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