题目内容
1-90C101+902C102-903C103+…+(-1)k90kC10k+…+9010C1010除以88的余数是( )
| A.-87 | B.87 | C.-1 | D.1 |
1-90C101+902C102-903C103+…+(-1)k90kC10k+…+9010C1010
=(1-90)10
=8910
=(1+88)10
=C100+C10188+…+C109×889+C10108810
=1+C10188+…+C109×889+C10108810
所以除以88的余数为1
故选D
=(1-90)10
=8910
=(1+88)10
=C100+C10188+…+C109×889+C10108810
=1+C10188+…+C109×889+C10108810
所以除以88的余数为1
故选D
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