Answer: a) 151200, b) 1000000, c) 210, d) 5005.
Step-by-step explanation:
Since we have given that
Number of items = 10
Number of distinct items = 6
a) the items in the choices are ordered and repetition is not allowed?
[tex]^{10}P_6\\\\=151200[/tex]
b) the items in the choices are ordered and repetition is allowed?
[tex]10^6\\\\=1000000[/tex]
c) the items in the choices are unordered and repetition is not allowed?
[tex]^{10}C_6\\\\=210[/tex]
d) the items in the choices are unordered and repetition is allowed?
[tex]^{15}C_6=5005[/tex]
Hence, a) 151200, b) 1000000, c) 210, d) 5005.
