Everyone loves an ice cream treat especially kids. So when Mr. Jimmies offered his 88 students an ice cream party, he instantly became their favorite teacher. The day of the party, Mr. Jimmies brought chocolate and vanilla ice cream and a stack of cones. he planned to serve 1 scoop per cone. But Mr. Jimmies had forgotten how unique young people like to be. "I don't want my cone to look like everyone else's cone." said one student. "We all want different cones, and you're only giving us two choices."
"Well, I could serve 2 scoops per cone," replied Mr. Jimmies, "which would give you 4 different patterns: vanilla, vanilla; vanilla, chocolate: chocolate, vanilla; and chocolate, chocolate."
But his students had other ideas. "There are 88 students, and we'd really like 88 different patterns."
Mr. Jimmies thought a moment. "Okay," he said, "but only if you can answer this question. If you each want a unique cone, how many scoops must be on each cone for there to be 88 different patterns?
2007-01-17 02:19:39 · 3 answers · asked by MmEe 2 in Science & Mathematics ➔ Mathematics
2^n >= 88
log(2^n) >= log(88)
n*log(2) >= log(88)
n >= log(88)/log(2) ≈ 6.46
Therefore, he would need to scoop 7 scoops onto each cone.
2007-01-17 02:41:48 · answer #1 · answered by Dave 6 · 0⤊ 0⤋
88 Extremely small, small scoops?
2007-01-17 02:29:01 · answer #2 · answered by Old Dawg 5 · 0⤊ 0⤋
i think its a trick question...he asked that question because its not possible and to shut those whiny kids up
2007-01-17 02:36:37 · answer #3 · answered by silky_goddess 3 · 0⤊ 0⤋