Question
In how many ways can the letters of the word "COMPUTER"
be arranged, and what is the probability that all the vowels in these arrangements always appear together?Solution
ATQ;
Total arrangements=8!=40320 Treat vowels as one block: Arrangements of 6 units=6!=720 Arrange vowels within the block: Arrangements of vowels=3!=6 Total arrangements where vowels are together = 6!×3!=720×6=4320 Probability that vowels are together = 4320/40320 = 1/9 Hence, Total arrangements, 40320 and Probability vowels are together = 1/9
The average of the first and second numbers is 20, while the average of the second and third numbers is 25. If the sum of the first and third numbers is...
Average weight of all the people in a group is 58 kg. When two people of weight 65 kg and 81 kg left the group, average weight reduces by 1.2 kg. Find t...
Out of three numbers the average of the first and the second number is 37 more than the average of the second and the third number. What is the differen...
The average age of each of the 20 employees in an IT company is 20 years. When you include the age of the Team leader, the company's average age becomes...
The average of 17 numbers is 80. The first seven numbers have an average of 100, and the last five numbers have an average of 72. The tenth number exce...
- If the average of 30 values is 58 and each of these values is multiplied by 7, what will be the new average?
Five friends each contributed Rs. 70. If the sixth friend gives Rs. 50 more than the average contribution of all six, how much did the sixth friend cont...
The average age of husband, wife and their child 4 years ago was 26 years and that of wife and the child 5 years ago was 25 years. The present age of th...
- The average age of (x + 1) students of a class is 20 years. If the 50 years old class teacher is also included then average age of the class gets increased...
The number of students in class 'A' is 140, and the ratio of girls to boys is 9:5. If the average number of boys in classes A and B is 160, and the aver...
