Answer:
126
Step-by-step explanation:
Total number of apples = 9
Number of favourite Mathematics lecturers = 5
To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find [tex]C(9,5)[/tex]
Combination refer to selection of items such that order does not matter.
Use [tex]C(n,p)=\frac{n!}{p!(n-p)!}[/tex]
Put [tex]n=9,p=5[/tex]
[tex]C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126[/tex]
