1The two equivalent equations will be
1.
2.
An equation between two variables that gives a straight line when plotted on a graph.
The required two equivalent equations are
The above equation has no repeating numbers and fulfill the criteria.
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Notice that 8 can be written in exponential form of
When you see , recognize that
3 × = 8
Hence, the answer is . Which means 256.
Here is some indices rules/formulas you might find helpful as well:
There are
total ways to draw any 6 numbers from the range 1 to 51, regardless of order.
Given 6 selected numbers that match those drawn by the lottery, there are
ways of rearranging them. So the probability of winning 1st prize is
Next, given 6 selected numbers of which 5 match those drawn by the lottery, there are
ways of rearranging those 5 matching numbers. There are 46 remaining numbers that didn't get drawn, so the probability of winning 2nd prize is