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Example 1:
1. Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl as neighbour and girl Y does not want any boy as neighbour. How many such arrangements are possibl..
Suggested answer:
i) Here, the total number = 6 + 6 = 12. 12 persons can be arranged in circular permutation as (12 - 1)! = 11! ways. ii) When 6 gentlemen are arranged around a table, there are 6 positions, each being between two gentlemen for 6 ladies, when no two ladies sit side by side. Now, the number..
i) Here, the total number = 6 + 6 = 12. 12 persons can be arranged in circular permutation as (12 - 1)! = 11! ways. ii) When 6 gentlemen are arranged around a table, there are 6 positions, each being between two gentlemen for 6 ladies, when no two ladies sit side by side. Now, the number..Frequency Distribution
The number which tells us how many times a particular data appears is called the frequency. For example, 2 marks have been scored by five students which means marks 2 occurs five times. Therefore, the frequency of score 2 is five. Similarly, the frequency of mark..
Frequency Distribution
A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an array. The difference between the great..
A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an array. The difference between the great..Frequency Polygon
In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to..
In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to..Pick an appropriate frequency table for the stem and leaf plot.
Pick an appropriate frequency table for the stem and leaf plot. => Figure 1 or Figure 2..
Cumulative Frequency Distribution
Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interval. This is explained by an example below. The following frequency distribution table gives the marks o..
The frequency table shows the number of games won by each country. Wha..
The frequency table shows the number of games won by each country. What is the ratio of the number of games won by USA to that by Italy? => 2 : 3 or 1 : 2 or 1 : 1 or 4 : 3..
The frequency table shows the number of games won by each country. Wha..
The frequency table shows the number of games won by each country. What is the ratio of the number of games won by USA to that of France? => 4 : 1 or 1 : 1 or 2 : 3 or 1 : 6..
Use the frequency table to find the number of students having 3 chocol..
Use the frequency table to find the number of students having 3 chocolates. => 4 or 5 or 3 or 6..
Result
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