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Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of four letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of nine digits. How many different sequences of nine digits were possible? GHI PRS 5 0 ABC JKL TUV 3 DEF MNO 9 WXY Ⓡ

Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of four letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of nine digits. How many different sequences of nine digits were possible? GHI PRS 5 0 ABC JKL TUV 3 DEF MNO 9 WXY Ⓡ

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Telephone Numbers** In the past, a local telephone number in a country consisted of a sequence of **four letters** followed by **five digits**. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure), so that each telephone number corresponded to a sequence of **nine digits**. How many different sequences of nine digits were possible? **Description of the Diagram:** The diagram shows a standard telephone keypad with numbers 0 through 9. Each number from 2 to 9 is associated with three letters: - 1 - 2: ABC - 3: DEF - 4: GHI - 5: JKL - 6: MNO - 7: PRS - 8: TUV - 9: WXY - 0 The three letters adjacent to each digit indicate the possible letter choices for converting part of a phone number to a sequence of digits, emphasizing how letters were mapped to numbers on older phone keypads.
Transcribed Image Text:**Telephone Numbers** In the past, a local telephone number in a country consisted of a sequence of **four letters** followed by **five digits**. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure), so that each telephone number corresponded to a sequence of **nine digits**. How many different sequences of nine digits were possible? **Description of the Diagram:** The diagram shows a standard telephone keypad with numbers 0 through 9. Each number from 2 to 9 is associated with three letters: - 1 - 2: ABC - 3: DEF - 4: GHI - 5: JKL - 6: MNO - 7: PRS - 8: TUV - 9: WXY - 0 The three letters adjacent to each digit indicate the possible letter choices for converting part of a phone number to a sequence of digits, emphasizing how letters were mapped to numbers on older phone keypads.
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