Using non-zero whole numbers there is just one combination of two numbers whose sum is 2 (2 = 1 + 1), and one combination whose sum is 3 (3 = 1 + 2). For the numbers 4 and 5 there are two different ways of writing the sum using two numbers: 4 = 1 + 3 = 2 + 2; and 5 = 1 + 4 = 2 + 3. What is the number of different ways of writing 2145 as the sum of two non-zero whole numbers? Solution yes there 1072 ways are there if u observe carefully 5 = 1 + 3 = 2 +2 2 ways going as 5/2 ways smilarly 2145 = 1 + 2144 = 2+ 2143 ................. 1072 + 1073 there are 1072 ways for number n there are n /2 ways ...... for 2145 2145 / 2 = 1072 ( forget reaminder. ....).

1. Using non-zero whole numbers there is just one combination of two numbers whose sum is 2 (2
= 1 + 1), and one combination whose sum is 3 (3 = 1 + 2). For the numbers 4 and 5 there are two
different ways of writing the sum using two numbers: 4 = 1 + 3 = 2 + 2; and 5 = 1 + 4 = 2 + 3.
What is the number of different ways of writing 2145 as the sum of two non-zero whole
numbers?
Solution
yes there 1072 ways are there
if u observe carefully
5 = 1 + 3 = 2 +2 2 ways
going as 5/2 ways
smilarly
2145 = 1 + 2144
= 2+ 2143
.................
1072 + 1073
there are 1072 ways
for number n there are n /2 ways ......
for 2145 2145 / 2 = 1072 ( forget reaminder. ....)