Question

how many groups of 6 persons can be formed from 8 men and 7 women?​

Answer 1

Step-by-step explanation:

To committee can be formed in the following ways:

(1 Lady +4 gents) or (2 Ladies +3 gents) or (3 Ladies +2 gents) or (4 Ladies +1 Gents) or (5 Ladies +0 gents)

Total number of possible arrangements:

⇒ (

4

C

1

×

6

C

4

)+(

4

C

2

×

6

C

3

)+(

4

C

3

×

6

C

2

)+(

4

C

4

×

6

C

1

)

⇒ 60+120+60+6

⇒ 246