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Evaluate each expression.$$\begin{array}{llll}{a .} & {6 !} & {e .} & {_{9} P_{6}} \\ {b .} & {11 !} & {f .} & {_{11} P_{4}} \\ {c .} & {2 !} & {g .} & {_{8} P_{0}} \\ {d .} & {9 !} & {h .} & {_{10}P_{2}}\end{array}$$

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Missouri State University

Piedmont College

Oregon State University

University of St. Thomas

Lectures

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Evaluate each expression.<…

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Evaluate each expression. …

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Evaluate each expression i…

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Evaluate each of the follo…

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here, fostering her to find out. Six factorial six factorial weaken Righted as six into five into four in tow. Three into doing to one. So we will get 7 20 And after that we had to find out Levin factorial. We can write it as 11 in tow, 10 into nine in tow, eight into seven in tow, six into five into four into three into two into one. Wi Fi. Multiply all the IBO numbers we will get 39 916 800 After that, we have to find are two factorial to factory is doing to one equal toe. The next one is nine factorial. Nine. Factorial is we have to multiply nine into eight and two seven in tow. Six into five into four into three into do it into one. We will get 362 it AIDS. It'll then we had to find out. Nine p seeks here. Nine East in on six East are go find or the number of permutations. The formerly is in factorial by and minus artful factorial. He'll and ease nine Factorial on and minus Odd is nine minus three factorial nine minus or 69 minus six Factorial, that is. Three factorial nine in tow, eight in tow, seven in tow, six into five in tow, four in tow, three in tow, doing to one. Do it by nine minus six. Factorial is three factorial so three into go into one. We can cancel tree factorial in numerator and denominator if you multiply nine into aging to 7 to 6 into firing toe full. Is 60,000 four 80 hard. Next problem is we had to find out. Live in be four here and he's living and our East fort. So and factorial is Levin factorial in New Moretto on In Denominator 11. Minus food that is N minus R. Factorial. So 11 factory is living in tow. 10 in tow. Nine into eight into seven into six into five into four in tow, three in tow to do fun diverted, but 11 minus four is seven. Factory so seven into six into five. Indo four into three into two into one. We can cancel seven factorial in you monitor on denominator, you see multiply 11 into 10 into nine into eight. Equal toe 7000 920. After that, we had to find out. Eight being zero he'll end is eight, so we can write it as a factorial. By and minus. R factorial is eight minus zero factorial eight minutes zero is zero. So eight factorial in numerator on eight factorial in denominator. Also, if he simply fight, we will get one on. Finally, we have to find out he'll then being dupe equal toe here in Eastern on Ottey's in Factorial Ease. 10 Factorial and in minus are these, then minus Dube, that is a factory. We can write it as 10 factor. Really. Stand in tow nine into eight in tow, seven into six into five into four in tow, three in tow to into one noted by eight. Factorial is eight into seven into six into five into four into three in tow. To into over, we can cancel both numerator denominator a factorial. So I will get 90. So number off limitations 90

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