Six Colored Balls

“Daddy, what are these six colored balls for?”

“Well, son, you’ll notice that three of them are red, two blue and one is green. The red balls all have the number one printed on them, the blue balls all have the number two printed on them, and the green one the number three printed on it,” said daddy, holding up the balls.

“They have very pretty colors, daddy,” said Lenny, “so what do you have in mind.”

“Let’s see how many different six-digit numbers you can make, son,” replied daddy.

“I know already, daddy,” smiled Lenny, “but for the chemistry set you promised me, I’ll tell you how many numbers with digits from one to five can be made with these balls,” said Lenny enthusiastically.

“That’s certainly a deal, son,” said a nonplussed daddy.

How many distinct six figure numbers do you say can be made using these balls?

And, how many distinct numbers with one to five digits can be made with these balls?

About Ken

Bachelor of Science in Physics, Honors, University of Maryland. Graduate of Danish School of Classical Homeopathy in 1998. Studies over several years at the International Academy of Classical Homeopathy in Alonnisos, Greece with the world-famous homeopath George Vithoulkas (winner of the Right Livelihood Award, the alternative Nobel Prize). Director of Klinik for Klassisk Homøopati in Herlev, Denmark. Director of the Iberian School and Clinic of Classical Homeopathy in Estepona, Costa del Sol, Spain and Gibraltar. Founding member of the Spanish Association of Classical Homeopathy (Asociación Española de Homeopatía Unicista) approved by ECCH (European Council for Classical Homeopathy). Currently director of the International Homeopathic Web Clinic and the Avila Clinic and School of Classical Homeopathy in Caracas, Venezuela. Kjetill Oftedal offers consultations in English, Spanish, Norwegian, Danish, Swedish, German, Dutch and Portuguese.
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