Answer: a) 14080, b) 5280, c) 64.
Step-by-step explanation:
Since we have given that
Number of teddy bears = 3
Number of identical lollipops = 9
Total number of things = 3+9 =12
Number of children = 4
(a) Without restriction?
Number of ways would be
[tex]4^3\times ^{12}C_3\\\\=14080[/tex]
(b) With no child getting two or more teddy bears?
[tex]4\times 3!\times ^{12}C_9\\\\=5280[/tex]
(c) With each child getting three ""goodies""?
[tex]4^3=64[/tex]
Hence, a) 14080, b) 5280, c) 64.
