A) 109
B) 118
C) 119
D) None of these
Correct Answer: C
Solution :
[c] Required number of ways \[\sum\limits_{r=2}^{5}{^{5}{{C}_{5-r}}D(r)}\] \[=\sum\limits_{r=2}^{5}{\frac{5!}{r!(5-r)!}r!\left\{ 1-\frac{1}{1!}+\frac{1}{2!}-\frac{1}{3!}+...+\frac{{{(-1)}^{r}}}{r!} \right\}}\] \[=10+20+(60-20+5)+(60-20+5-1)\] \[=10+20+45+44=119\]You need to login to perform this action.
You will be redirected in
3 sec