How many ways can a committee of 4 men and 3 women can be se

How many ways can a committee of 4 men and 3 women can be selected from a group of 6 men and 5 women? A. 140 B. 150 C.160 D. 170 13. A proposition equivalent to q^(p rightarrow q) is: A. P rightarrow q B. q C. q v p D. p^q 14. The gcd(200, 112) is: A. 8 B. 2 C. 1 D. 6 15. The successor of a set A is the set A {A}. Hence, the success {, {}} is: A. {, {}, {,{}}} B. {{},{,{}} C. {, {,{}}} D. None of the alone The coefficient of x The power-set of the set A = {, {}} is: A. P = {,{} {},{{}}} B. P = {{}, {{}}} C. p = {,{}, {{}}, {,{}}} d. p = {,{}, {,{}}}

Solution

11. coefficient of x^5y^6 in (2x +y)^11

x^5 which means : 5 = 11- k

k = 11-5 ---> k = 6

11C6(2x)^(11-6)(y)^(6) = 11C6 2^5*x^5*y^6

= 462*32x^5y^6 =14784x^5y^6

Coefficient = 14784

Option D

12. Total 6 men and 5 women

Select 4 men and 3women

= 6C4*5C3 = [6!/(4!2!)]*[5!/3!*2!]

= 15*10 = 150

Option B