How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a 6-digit number whose digits are nondecreasing. (Leading zeros are not allowed.) (Hint: think of this as a fruit-type problem. What are the types? What are the objects? How many are you taking?)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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discrete math 

generalized permutations and combinations 

How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888
is a 6-digit number whose digits are nondecreasing. (Leading zeros are not allowed.) (Hint:
think of this as a fruit-type problem. What are the types? What are the objects? How many
are you taking?)
Transcribed Image Text:How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a 6-digit number whose digits are nondecreasing. (Leading zeros are not allowed.) (Hint: think of this as a fruit-type problem. What are the types? What are the objects? How many are you taking?)
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