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(c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the coefficient of the x yt term in the expansion of (x + 2y)10.

(c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the coefficient of the x yt term in the expansion of (x + 2y)10.

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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(a) How many strings of 1our decimal digits have all four digits that are different? (b) How many strings of four decimal digits end with an even digit? (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the coefficient of the x°yt term in the expansion of (x + 2y)1º. (e) Your grandma has prepared eight pieces of bakery of different flavor. You want to choose three for breakfast, two for lunch, two for dinner, and one for tea time in the afternoon. How many ways are there to choose?
Transcribed Image Text:(a) How many strings of 1our decimal digits have all four digits that are different? (b) How many strings of four decimal digits end with an even digit? (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the coefficient of the x°yt term in the expansion of (x + 2y)1º. (e) Your grandma has prepared eight pieces of bakery of different flavor. You want to choose three for breakfast, two for lunch, two for dinner, and one for tea time in the afternoon. How many ways are there to choose?
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