Solve the Problem $\mathrm { C } ( 6,2 ) = 15$

question 46

Multiple Choice

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, bc, bd, be, bf, cd, ce, cf, de, df, ef \(\mathrm { C } ( 6,2 ) = 15\)
• 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, fa, fb, fc, fd, fe \(C ( 6,2 ) = 30\)
• C) ab, ac, ad, ae, bc, bd, be, cd, ce, cf, de, df \(\mathrm { C } ( 6,2 ) = 12\)
• D) 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, \(\mathrm { fb } , \mathrm { fc } , \mathrm { fd } , \mathrm { fe } , \mathrm { ff }\) \(C ( 6,2 ) = 36\)

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