Question

Sari packs 2 mugs into a gift box she has 4 colors of mugs to choose from red white green blue how many combinations of two different color mugs can she pack into the box

Answer 1

Combinations (Two we choose from four)

`C_4^2={4\choose 2}=(4!)/(2!*2!)=(2!\cdot 3\cdot \\ot4^2)/(2!\cdot \\ot2^1)=3\cdot 2=6`

Answer 2

10 different combinations