The coefficient of x8 in the expansion of 1+x22!+x44!+x661+x88!2 is
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a
1315
b
2315
c
1105
d
1210
answer is A.
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Detailed Solution
The coefficient of x8 in 1+x22!+x44!+x66!+x88!2 is10!8!+12!6!+14!4!+16!2!+18!0!=18!8!0!8!+8!2!6!+8!4!4!+8!6!2!+8!8!0! =18!C0 8+C2 8+C4 8+C6 8+C8 8 =278!=1315