Answer :
Let's solve the problem step by step using the information provided in the table:
1. We need to find the number of females currently not enrolled in Composition I.
2. From the table, the total number of students enrolled in Composition I (both males and females) is given as 81.
3. The total number of females enrolled in Composition I is given as 45.
4. From the row total, the total number of males is given as 122.
5. From the table, it is given that the number of males not enrolled in Composition I is 87.
Next, we need to find the total number of males enrolled in Composition I:
- The total number of males is given as 122.
- The number of males not enrolled in Composition I is 87.
- To find the number of males enrolled in Composition I, we subtract the number of males not enrolled from the total number of males:
[tex]\( \text{Number of males enrolled} = 122 - 87 = 35 \)[/tex]
Now let's find the total number of females:
- The column total for all students is given as 251.
- The total number of males is given as 122.
- To find the total number of females, we subtract the total number of males from the column total:
[tex]\( \text{Total number of females} = 251 - 122 = 129 \)[/tex]
Finally, to find the number of females not enrolled in Composition I:
- The total number of females is 129.
- The number of females enrolled in Composition I is 45.
- To find the number of females not enrolled, we subtract the number of females enrolled from the total number of females:
[tex]\( \text{Females not enrolled} = 129 - 45 = 84 \)[/tex]
So, the number of females currently not enrolled in Composition I is:
[tex]\[ 84 \][/tex]
Hence, the correct answer is [tex]\(\boxed{84}\)[/tex].
1. We need to find the number of females currently not enrolled in Composition I.
2. From the table, the total number of students enrolled in Composition I (both males and females) is given as 81.
3. The total number of females enrolled in Composition I is given as 45.
4. From the row total, the total number of males is given as 122.
5. From the table, it is given that the number of males not enrolled in Composition I is 87.
Next, we need to find the total number of males enrolled in Composition I:
- The total number of males is given as 122.
- The number of males not enrolled in Composition I is 87.
- To find the number of males enrolled in Composition I, we subtract the number of males not enrolled from the total number of males:
[tex]\( \text{Number of males enrolled} = 122 - 87 = 35 \)[/tex]
Now let's find the total number of females:
- The column total for all students is given as 251.
- The total number of males is given as 122.
- To find the total number of females, we subtract the total number of males from the column total:
[tex]\( \text{Total number of females} = 251 - 122 = 129 \)[/tex]
Finally, to find the number of females not enrolled in Composition I:
- The total number of females is 129.
- The number of females enrolled in Composition I is 45.
- To find the number of females not enrolled, we subtract the number of females enrolled from the total number of females:
[tex]\( \text{Females not enrolled} = 129 - 45 = 84 \)[/tex]
So, the number of females currently not enrolled in Composition I is:
[tex]\[ 84 \][/tex]
Hence, the correct answer is [tex]\(\boxed{84}\)[/tex].
