Problem: A committee of 5 persons is to be formed form 6 male and 5 female members. In how many this committee can be formed so that there is at least 1 male and I female member in the committee?
View all: SONALI & JANATA BANK LTD (SO) IT WRITTEN QUESTION (MATH) SOLVE | 2018
Correct Answer:
Explanation:
6 male members 5 female members14233241So. there are following ways to make the committee.
| 6 male members | 5 female members |
| 1 | 4 |
| 2 | 3 |
| 3 | 2 |
| 4 | 1 |
$6_{c_{1}}\times 5_{c_{4}}=6\times 5$ = 30
$6_{c_{2}}\times 5_{c_{3}}=15\times10$ = 150
$6_{c_{3}}\times 5_{c_{2}}=20\times10$= 200
$6_{c_{4}}\times 5_{c_{1}}=15\times 75$ = 30
Total number of ways to form the committee is = 30+150+200+75=455
