# In How Many Ways Can A Committee Of

In How Many Ways Can A Committee Of. 3 members in 10!/(7!)(3!) = 120 ways. 3 ladies out of 8 can be selected in 8 c 3 ways and 4 gentlemen out of 7 in 7 c 4 ways.

How many ways can a committee of 4 people be selected from a group of 7 people? R = number of things picked from the group. 3 members in 10!/(7!)(3!) = 120 ways.

### In Combination R Things Are Selected From A Set Of N Things And Where The Order Of Selection Does Not Matter.

Since, combinations are referred to using the following. >> words and word forms. 2 members in 10!/(8!)(2!) = 45 ways.

### Questions 1 And 2 Are However Compulsory, Determine The Number Of Ways In Which The Student Can Make The Choice.

1 member in 10!/(9!)(1!) = 10 ways. No of ways to make a committee of 3 person = 3 c 2 × 4 c 2 = 3×6 = 18ways. In how many ways can a committee of 6 be formed out of 6 men and 4 women so tha (d) 210.

### For Solving This Type Of Question, We Should.

In an examination, a student has to answer 4 questions out of 5 questions ; 0 members in 10!/(10!)(0!) = 1 way. Of the 8 men available, we must choose 3.

### View Solution > A Committee Of 5 Is To Be Formed From 6 Boys And 5 Girls.

3 members in 10!/(7!)(3!) = 120 ways. Therefore, there are 70 ways of choosing 4 people for a committee from a group of 8 people. R = number of things picked from the group.

### There Are 1,176 Different Possible Committees.

Person required in committee = 4. In how many ways a committee consisting of 5 men and 3 women, can be chosen from 9 men and 12 women. 3 ladies out of 8 can be selected in 8 c 3 ways and 4 gentlemen out of 7 in 7 c 4 ways.