You have 65 movies on your Netflix queue. In how many ways can you order them?
1 answer:
Ok so permuations
slot method basically
first slot is 65 options
2nd slot is 64 options
3rd slot is 63
...
65th slot is 1 option
basically the answer is 65! or 65 factorial which is about 8,247,650,592,082,470,666,723,170,306,785,496,252,186,258,551,345,437,492,922,123,134,388,955,774,976,000,000,000,000,000 or about 8<span> trigintillion</span> or in scientific notiotion,
slot method basically
first slot is 65 options
2nd slot is 64 options
3rd slot is 63
...
65th slot is 1 option
basically the answer is 65! or 65 factorial which is about 8,247,650,592,082,470,666,723,170,306,785,496,252,186,258,551,345,437,492,922,123,134,388,955,774,976,000,000,000,000,000 or about 8<span> trigintillion</span> or in scientific notiotion,
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<h3>Answer: 5</h3>
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One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
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Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).