A local chess tournament gives medals for first, second, and third place. There are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament. Which statements are true? Check all that apply.

Order matters in this scenario.
There are 2,184 ways to select a first-place, second-place, and third-place winner.
The probability that all three winners are from Midland High is 0.0275.
The probability that all three winners are from Leasburg High is 0.0046.
The probability that all three winners are from Cassville High is 0.0549

There are 2,184 ways to select a first-place, second-place, and third-place winner.

The probability that all three winners are from Midland High is 0.0275.

The probability that all three winners are from Cassville High is 0.0549

Step-by-step explanation:

Since a local chess tournament gives medals for first, second, and third place, and there are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament, to determine which of the following statements are true, the following calculations must be performed:

A) There are 2,184 ways to select a first-place, second-place, and third-place winner.

5 + 3 + 6 = 14

14 x 13 x 12 = X

182 x 12 = X

2.184 = X

B) The probability that all three winners are from Midland High is 0.0275.

5/14 x 4/13 x 3/12 = X

0.02747 = X

C) The probability that all three winners are from Leasburg High is 0.0046.

3/14 x 2/13 x 1/12 = X

0.00274 = X

D) The probability that all three winners are from Cassville High is 0.0549

6/14 x 5/13 x 4/12 = X

0.0549 = X

5050 i think

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.