Home
Class 12
MATHS
If a secretary and a joint secretary are...

If a secretary and a joint secretary are to be selected from a committee of 11 members, then in how many ways can they be selected ?

A

110

B

55

C

22

D

11

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of selecting a secretary and a joint secretary from a committee of 11 members, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Selection Process**: We need to select 2 positions (secretary and joint secretary) from a total of 11 members. The order of selection matters because the roles are different. 2. **Choose the Secretary**: We can choose the secretary from any of the 11 members. So, we have 11 choices for the secretary. 3. **Choose the Joint Secretary**: After selecting the secretary, we have 10 members left to choose from for the joint secretary. Therefore, we have 10 choices for the joint secretary. 4. **Calculate the Total Combinations**: Since the selection of the secretary and joint secretary are independent choices, we multiply the number of choices: \[ \text{Total ways} = \text{Choices for Secretary} \times \text{Choices for Joint Secretary} = 11 \times 10 \] 5. **Final Calculation**: \[ 11 \times 10 = 110 \] Thus, the total number of ways to select a secretary and a joint secretary from a committee of 11 members is **110**.
To solve the problem of selecting a secretary and a joint secretary from a committee of 11 members, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Selection Process**: We need to select 2 positions (secretary and joint secretary) from a total of 11 members. The order of selection matters because the roles are different. 2. **Choose the Secretary**: We can choose the secretary from any of the 11 members. So, we have 11 choices for the secretary. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

A delegation of four students is to be selected from a total of 12 students. In how many ways can the delegation be selected.

If a team of four persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least one male.

In how many ways can 6 members the selected from a group of 10 members ?

A committee of 2 boys is to be selected from 4 boys. In how many ways can this be done ?

In how many ways can a chairman and vice - chairman be elected from a committee of 8 members who are equally eligible for the post ?

In how many ways a committee of 7 members can be selected from 10 members ?

There are 3 nominations for the post of president, 4 for the post of vice-president and 5 for the secretary. i. In how many ways can candidates be selected for each of these posts? ii. In how many ways can any one of these posts be filled?

There are 6 boys and 3 girls in a class. An entertainment committee of 6 persons is to be selected such that there are 4 boys and 2 girls in the committee. In how many ways can the committee be selected?

A cricket team of 11 players is to be selected from 16 players including 5 bowlers and 2 wicketkeepers. In how many ways can a team be selected so as to consist of exactly 3 bowlers and 1 wicketkeeper?