Let's determine [tex]\( n(A) \)[/tex] for the set [tex]\( A \)[/tex].
The set [tex]\( A \)[/tex] is given as:
[tex]\[
A = \{a, b, c, \ldots, z\}
\][/tex]
This notation indicates that the set [tex]\( A \)[/tex] consists of all the lowercase letters of the English alphabet. So [tex]\( A \)[/tex] includes the elements [tex]\( a, b, c, \ldots, y, z \)[/tex].
To find [tex]\( n(A) \)[/tex], we need to count the number of elements in the set [tex]\( A \)[/tex].
The English alphabet contains 26 letters in total, as follows:
1. a
2. b
3. c
4. d
5. e
6. f
7. g
8. h
9. i
10. j
11. k
12. l
13. m
14. n
15. o
16. p
17. q
18. r
19. s
20. t
21. u
22. v
23. w
24. x
25. y
26. z
Therefore, the number of elements in the set [tex]\( A \)[/tex] is:
[tex]\[
n(A) = 26
\][/tex]
Thus, [tex]\( n(A) = 26 \)[/tex].
