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How many different 6-digit numbers have a sum of their digits equal to 2?

pls help

Sagot :

LammettHash

If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either

• two 1s and four 0s, or

• one 2 and five 0s

and the leading digit must be non-zero.

If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.

If such a number starts with 2, the rest are 0s. So there is 1 number in this group.

Then there are only 6 numbers with 6 digits whose digital sum is 2.

110000

101000

100100

100010

100001

200000

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