PERMUTATIONS OF SET
Calculate each of the following permutations.
1. 6P2______
Start with 6, subtract 1 each time until you have 2 factors,
then multiply them all together.
6*5 = 30
There are 30 different ways to pick 2 things from 6 and arrange
them in a row.
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2. 8P4______
Start with 8, subtract 1 each time until you have 4 factors,
then multiply them all together.
8*7*6*5 = 1680
There are 1680 different ways to pick 4 things from 8 and arrange
them in a row.
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3. 9P1_______
Start with 9. You can't subtract 1 for you already have 1 factor
from the start. So the answer is just the 1 factor 9
There are 9 different ways to pick 1 thing from 9.
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4. 7P4_______
Start with 7, subtract 1 each time until you have 4 factors,
then multiply them all together.
7*6*5*4 = 840
There are 840 different ways to pick 4 things from 7 and arrange
them in a row.
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5. 8P6______
Start with 8, subtract 1 each time until you have 6 factors,
then multiply them all together.
8*7*6*5*4*3 = 20160
There are 20160 different ways to pick 6 things from 8 and arrange
them in a row.
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6. 10P7______
Start with 10, subtract 1 each time until you have 7 factors,
then multiply them all together.
10*9*8*7*6*5*4 = 604800
There are 604800 different ways to pick 7 things from 10 and arrange
them in a row.
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7. 15P3________
Start with 15, subtract 1 each time until you have 3 factors,
then multiply them all together.
15*14*13 = 2730
There are 2730 different ways to pick 3 things from 15 and arrange
them in a row.
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8. 13P9_______
Start with 13, subtract 1 each time until you have 9 factors,
then multiply them all together.
13*12*11*10*9*8*7*6*5 = 259459200
There are 259459200 different ways to pick 9 things from 13 and arrange
them in a row.
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9. 20P5_________
Start with 20, subtract 1 each time until you have 5 factors,
then multiply them all together.
20*19*18*17*16 = 1860480
There are 1860480 different ways to pick 5 things from 20 and arrange
them in a row.
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Edwin
