We will use a combination formula to determine how many ways the prizes could be given out.
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.
The formulas nCk is popularly known as counting formula.
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Answer:
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Answer:
25.12
Step-by-step explanation:
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles