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HPWebcomHawkes LearningHawkes Learning | HomeXXNew TabXearning.com/Portal/Lesson/lesson certifyFt New ArrivalsNew TabSave & End CertifyLesson: 4.4 Combinations and Permutations1/18CorrectQuestion 3 of 18, Step 1 of 1Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places.C71P3AnswerHow to enter your answerO 2019 Hawkes Learning+XX

Question

Evaluate the following expression. Express your answer as a fraction or decimal number rounded to four decimal places. 

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Lesson: 4.4 Combinations and Permutations
1/18
Correct
Question 3 of 18, Step 1 of 1
Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places.
C7
1P3
Answer
How to enter your answer
O 2019 Hawkes Learning
+
X
X
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HPWebcom Hawkes Learning Hawkes Learning | Home X X New Tab X earning.com/Portal/Lesson/lesson certify Ft New Arrivals New Tab Save & End Certify Lesson: 4.4 Combinations and Permutations 1/18 Correct Question 3 of 18, Step 1 of 1 Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places. C7 1P3 Answer How to enter your answer O 2019 Hawkes Learning + X X

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check_circleAnswer
Step 1

The required formulae to find the value of given expression is given below:

п!
С,
х(п-х)!
п
п!
Р.
(п-х)!
п! -п(п-1)!
п!-п(п-1)(п- 2). (п-r-1)х...x2х1
п* х
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п! С, х(п-х)! п п! Р. (п-х)! п! -п(п-1)! п!-п(п-1)(п- 2). (п-r-1)х...x2х1 п* х

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Step 2

Calculations:

11!
1C7(11-7)
11!
7x 4!
1 1!
(11-3)
11!
8!
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11! 1C7(11-7) 11! 7x 4! 1 1! (11-3) 11! 8!

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Step 3

Calculations co...

11!
7x 4!
11
11!
11 3
8!
11!
8!
X
7x 4! 11
8x 7!
7!x 4!
8
4!
8
4x3x2x1
8
24
0.3333
OO
OO
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11! 7x 4! 11 11! 11 3 8! 11! 8! X 7x 4! 11 8x 7! 7!x 4! 8 4! 8 4x3x2x1 8 24 0.3333 OO OO

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