[Elementary Practice] Quant - Permutation & Combination v3

    

Q1. In how many ways 8 persons be seated around a circular table having 8 seats?
Ans - 5040

Q2. In how many ways 4 students of standard 2, 3 students of standard 3 and 5 students of standard 1 can stand in a row such that students of same standard are always together.
Ans - `3! × 3! × 4! × 5!`

Q3. The letter of the word ‘INDICATOR’ are to be arranged in following Manner.
All vowels are together.
Ans - 8640

Q4. In Asia cup 2018 cricket tournament five teams participated. If each team played one match to every other team, find the number of matches played.
Ans - 10

Q16. How many distinct lines can be drawn through 7 points, if no 3 points are collinear?
Ans - 21

 

Q6. In every team, a captain can be selected in 11 ways.
In how many ways a team of 11 player can be selected out of 17 players, where a captain is always selected and a stand by player is never selected?
Ans - `15!/10! 5!`

Q7. There are 15 professors, 4 head of department and one vice principal out of which 1 dean is to be selected. In how many ways selection can be done?
Ans - 20

Q8. The two ‘I’ are never together.
Ans - `8! (9/2!−1)`

Q9. Find the total numbers of words starting and ending with vowel.
Ans - `7 × 7!`

Q10. In how many ways four chocolates can be distributed among 3 children such that each child gets different chocolates?
Ans - 24

Q11. Number of five letter words that can be formed without any repetition
Ans - `8!/ 3!`

Q12. Find the number of ways in which 4 couples can be arranged in a straight line such that no two females are sitting together.
Ans - `5! × 4!`

Q13. Find the number of ways in which 4 couples can be arranged in a straight line such that the male and female occupy alternate positions ?
Ans - `2 × 4! × 4!`

Q14. If (n + 1)P4 : nP4 = 5 : 4. Then find the value of n.
Ans - 19

Q15. In how many ways can the letters of word “WORKBOOK” be arranged so that the vowels are always together?
Ans - 360

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