Combination Problem - Relay 2

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High School Math Grades 9-12, Ages 13-18

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High School Math Grades 9-12, Ages 13-18

Grades 9-12, Ages 13-18

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Combination Problem - Relay 2

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#1 h Feb 14, 2008, 12:21 AM • 1 Y

Y by Adventure10

Same rules as usual Relay. Check out Relay 1 if you haven't so.

R1 - 1. Two sides of an isosceles triangle are 22 and 61. Compute the area of the triangle.

R1 - 2. Let $T = TNYWR$ and let $K = T + 1$ .
If $a,b,$ and $c$ are positive integers, each less than or equal to $K$ , and if $P * Q$ means $\frac{P+Q}{2},$ compute the greatest possible value for the expression $a * (b * c) - (a * b) * c$ .

R1 - 3. Let $T = TNYWR$ .
(Note: In this problem, the brackets represent the Greatest Integer Function). Compute the number of values of $n,$ with $1 < n < T$ , for which $\lfloor{\frac{n}{2}\rfloor} + \lfloor{\frac{n}{3}\rfloor} = \frac{n}{2} + \frac{n}{3}$ .

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#2 h Feb 14, 2008, 12:59 AM • 1 Y

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