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How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. c) What is the answer using the proper notation? O A. 7 O B. 7! O C. 5! O D. 7P7 O E. 1 6P2 O F. 6! O G. 75 O H. 73 There are 30 possible code symbols. (Simplify your answer.)

How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. c) What is the answer using the proper notation? O A. 7 O B. 7! O C. 5! O D. 7P7 O E. 1 6P2 O F. 6! O G. 75 O H. 73 There are 30 possible code symbols. (Simplify your answer.)

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 18E
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How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. c) What is the answer using the proper notation? O A. 7 О В. 7! O C. 5! O D. 7P7 O E. 1 6P2 O F. 6! O G. 75 H. 73 There are 30 possible code symbols. (Simplify your answer.) O O
Transcribed Image Text:How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. c) What is the answer using the proper notation? O A. 7 О В. 7! O C. 5! O D. 7P7 O E. 1 6P2 O F. 6! O G. 75 H. 73 There are 30 possible code symbols. (Simplify your answer.) O O
How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. O E. 1 6P2 O F. 6! O G. 75 O H. 73 There are 30 possible code symbols. (Simplify your answer.) d) What is the answer using the proper notation? A. 77 О В. 6! O C. 5! O D. 7! O E. 1 6P2 O F. 73 O G. 75 O H. 1 1 5P1 There are 5 possible code symbols. (Simplify your answer.)
Transcribed Image Text:How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters: a) are not repeated? b) can be repeated? c) are not repeated but must begin with D? d) are not repeated but must begin with DE? For each part, give the answer using permutation notation, factorial notation, or other operations. Then evaluate. O E. 1 6P2 O F. 6! O G. 75 O H. 73 There are 30 possible code symbols. (Simplify your answer.) d) What is the answer using the proper notation? A. 77 О В. 6! O C. 5! O D. 7! O E. 1 6P2 O F. 73 O G. 75 O H. 1 1 5P1 There are 5 possible code symbols. (Simplify your answer.)
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