Question

Please complete the pyramid by replacing '?' with the correct number?

1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?

Answer 1

1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
3 1 2 2 1 1
1 3 1 1 2 2 2 1

Answer 2

1
1 1 --> (one 1 ther so 1 1)
2 1 --> (two 1 so 2 1)
1 2 1 1 -->(one 2, one 1 so 1 2 1 1)
1 1 1 2 2 1
3 1 2 2 1 1
1 3 1 1 2 2 1 1

Answer 3

Answer is:
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
3 1 2 2 1 1
1 3 1 1 2 2 2 1

Logic is:
Just started with 1 in first line and printed successive repeating counts of each no. and the no in the successive lines.
First line ---> 1
Second line ---> No. of ones is 1. --> one 1 --> 1 1
Third line ---> No. of ones is 2. --> two 1 --> 2 1
Fourth line---> No. of twos is 1 and no. of ones is 1 --> one 2 one 1 --> 1 2 1 1
Fifth line---> No. of ones is 1 and no. of twos is 1 and no. of ones is 2 -->** one 1 one 2 two 1 --> 1 1 1 2 2 1**
Similarly for fifth and sixth line:
No. of ones is 3 and no. of twos is 2 no. of ones is 1 --> three 1 two 2 one 1 --> 3 1 2 2 1 1
No. of threes is 1 and no. of ones is 1 and no. of twos is 2 and no. of ones is 2 --> one 3 one 1 two 2 two 1 --> 1 3 1 1 2 2 2 1