Solve the Problem $\mathrm { fb } , \mathrm { fc } , \mathrm { fd } , \mathrm { fe } , \mathrm { ff }$

Multiple Choice

Solve the problem.
-List all the ordered arrangements of 6 objects a, b, c, d, e, and f choosing 2 at a time without repetition. What is P(6, 2) ?

A) aa, ab, ac, ad, ae, af, ba, bb, bc, bd, be, bf, ca, cb, cc, cd, ce, cf, da, db, dc, dd, de, df, ea, eb, ec, ed, ee, ef, fa, $\mathrm { fb } , \mathrm { fc } , \mathrm { fd } , \mathrm { fe } , \mathrm { ff }$
$\mathrm { P } ( 6,2 ) = 36$
B) ab, ac, ad, ae, af, ba, bc, bd, be, bf, ca, cb, cd, ce, cf, da, db, dc, de, df, ea, eb, ec, ed, ef
$\mathrm { P } ( 6,2 ) = 25$
C) ab, ac, ad, ae, af, ba, bc, bd, be, bf, ca, cb, cd, ce, cf, da, db, dc, de, df, ea, eb, ec, ed, ef, fa, fb, fc, fd, fe
$\mathrm { P } ( 6,2 ) = 30$
D) ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef
$\mathrm { P } ( 6,2 ) = 15$