Find the number of ways of arranging the host and 8 guests at a circular table, so that the host always sits in a particular seat ?
A). 4!
B). 8!
C). 6!
D). 9!
8!
NA
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1. In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women ?
2. A number lock has a key of 3 digits. It is known that the digits of key are either all even or all odd. How many different possible key values can be there?
3. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
4. A basketball coach has to select 5 main players out of a total of 12 players. Aman will not be a part of the main five if Akbar is not in the main five. In how many ways can the coach get to choose the main five?
5. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
6. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
7. A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?
8. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
9. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
10. How many necklaces of 12 beads can be made from 18 beads of various colours ?
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