NCERT Class XI Mathematics - Binomial Theorem - Solutions
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Question : 8
Total: 36
Solution:
We have, 101 = 100 + 1
∴( 101 ) 4 ( 100 + 1 ) 4
=
C 0 ( 100 ) 4 +
C 1 ( 100 ) 3
C 2 ( 100 ) 2 +
C 3 ( 100 ) +
C 4 ( 100 ) 0
= 100000000 + 4(1000000) + 6 (10000) + 400 + 1
= 100000000 + 4000000 + 60000 + 400 + 1= 104060401
∴
=
= 100000000 + 4(1000000) + 6 (10000) + 400 + 1
= 100000000 + 4000000 + 60000 + 400 + 1= 104060401
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