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Grade 21 Algebra II
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Sequences and Series -Binomial Theorem
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Question: Evaluate:
(8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
(5 x 4 x 3 x 2 x 1)( 3 x 2 x 1) )
A ) 40
B ) 46
C ) 56
D ) 48
Steps to derive
1
(8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
(5 x 4 x 3 x 2 x 1)( 3 x 2 x 1)
.
[Cancel the common factors.]
2
=
(8 x 7 x 6)
(3 x 2 x 1)
= 56
Hence the right answer is Option C
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