Explanation 1) Definition: Pascal’s triangle: The n th row of Pascal’s triangle counts the subsets of various sizes of an n -element set. 2) Calculation: Given, The seventh row of the Pascal's triangle is 1 7 21 35 35 21 7 1 The two element-subsets can we choose from a seven-element set in Pascal's triangle (i.e.) C ( 7 , 2 ) Using the formula for computing C ( n , r ) C ( n , r ) = n ! r ! ( n − r ) ! Here, n

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Chapter 12.CR, Problem 14CR

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Chapter 12 Solutions

Mathematics All Around (6th Edition)

Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E Ch. 12.1 - How many different two-digit numbers can you form...Ch. 12.1 - How many different two-digit numbers can you form...

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The number of two-element subsets can we choose from a seven-element set.

Solution Summary: The author explains that the number of two-element subsets can be chosen from a seven-Element set. The seventh row of Pascal's triangle is 1 7

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The number of two-element subsets can we choose from a seven-element set.