Question

a club has 60 gentleman and 40 ladies in how many ways can a committee of 1 gentleman and 1 lady be formed?​

Answer 1

Answer:

a) There should atleast be one lady, i.e., (L,G)≡(1,4),(2,3),(3,2),(4,1)

So, we will choose L ladies from 4 and G gentlemen from 6,

=

1

4

C.

4

6

C+

2

4

C.

3

6

C+

3

4

C.

2

6

C+

4

4

C.

1

6

C=60+120+60+6=246

(b)There is no restrictions

=

5

10

C=252

Hence, option 'C' is correct.