Carcass wrote:
A certain jewelry store sells customized pendants in which three gemstones selected by the customer are set in a straight row down the center of the pendant. If exactly 5 different types of the gemstone are available, and if at least two of the gemstones in any given pendant must be different, how many different pendants are possible?
A. 20
B. 60
C. 90
D. 120
E. 210
EXPLANATIONA short approach to the question would be..
let us find total ways of choosing gemstones without restrictions = 5*5*5=125
How many of these have all three same - 5 ways
so Total = 125-5=120
D