srestha mam how ...
How langrage theorem applied here ??
I think answer should be 1.
The number of Abelian groups of order P^k (P is prime) is the number of partitions of k. When we prime factorize 10 = 2^1 * 5^1.
Now we find partitions of the powers which are 1 and 1.
We multiply them 1*1=1
Correct me if i am wrong.
i referred to this question:-
https://gateoverflow.in/1219/gate2007-21