Solve the problem.
-List all the combinations of 6 objects a, b, c, d, e, and f taken 2 at a time. What is C(6, 2)?
A) 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 C(6, 2) = 30
B) ab, ac, ad, ae, bc, bd, be, cd, ce, cf, de, df C(6, 2) = 12
C) 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, fb, fc, fd, fe, ff
C(6, 2) = 36
D) ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef C(6, 2) = 15

Question

Quizplus · Accepted Answer

C(6, 2) calculates the number of combinations of 6 objects taken 2 at a time, which is calculated as 6! / (2!(6-2)!) = 15. This means each pair is counted only once, without regard to order, which matches option D.

Solve the Problem. -List All the Combinations of 6 Objects A, B, C