330,944 views
42 votes
42 votes
How many three digit numbers have a 2 as a tens digit??

User Bilal Shah
by
3.0k points

1 Answer

17 votes
17 votes

Answer:

90 numbers

Explanation:

Considering the stipulations from the question, the layout for the 3-digit number is:


\underline{x}\:\underline{2}\:\underline{y}

The hundreds digit,
x, can be any number from 1-9 inclusive, which contains 9 numbers.

The tens digit, 2, is fixed, as stipulated from the problem, and therefore may only be one number, 2.

The ones digit,
y, can be any number from 0-9 inclusive which gives 10 options.

Therefore, there are
9\cdot 1\cdot 10=\boxed{90} three digit numbers that have 2 as a tens digit.

User PCoelho
by
3.5k points