Question

Out of 8 men and 5 women, a committee 4 is to be formed. The no. of ways in which, this can be done so as to include at least 2 ladies.

• A. 250
• B. 265
• C. 365
• D. 255

Answer 1

Answer: (C)

365

Answer 2

\begin{tabular} { c | c } M & W \ \hline 2 & 2 \ 1 & 3 \ 0 & 4 \end{tabular}

No. of ways = $8C_{2} +^{5}C_{2} +^{8}C_{1}.^{5}C_{3} +^{8}{C_{0}}^{5}C_{4}$

= 28 x 10 + 8 x 10 + 1 x 5

= 280 + 80 + 5 = 365.