state gov DSSSB Patwari Mock Test Mathematics Binomial Theorem Binomial Expansion

The coefficient of x53 in the following expansion \(\displaystyle\sum^{100}_{m=0}{^{100}C_m(x-3)^{100-m}.2^m}\) is

1
\({^{100}C_{47}}\)
2
\({^{100}C_{53}}\)
3
\(-{^{100}C_{47}}\)
4
\(-{^{100}C_{100}}\)
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