Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A teacher has a class of 20 students and wants to divide them into groups of 4 for a project. Each group must have a designated leader. How many different ways are there to choose the le

A teacher has a class of 20 students and wants to divide them into groups of 4 for a project. Each group must have a designated leader. How many different ways are there to choose the leaders for each group, if the same student can be a leader for more than one group?

Option: 1

120000


Option: 2

140000


Option: 3

160000


Option: 4

150000


Answers (1)

best_answer

Given that,

20 students are in a class, and the teacher wants to break them into groups of four for a project.

Since the same student can be a leader for more than one group, there are no restrictions on who can be chosen as the leader for each group. 

Therefore, for each group, we have 20 choices for the leader. Since there are 4 groups, the total number of ways to choose the leaders for each group is given by,

\begin{aligned} &20^4=20 \times 20 \times 20 \times 20\\ &20^4=160000 \end{aligned}

Therefore, there are 160000 different ways to choose the leaders for each group if the same student can be a leader for more than one group.

 

Posted by

Ritika Jonwal

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Patna cut-offs for engineering programmes; know closing ranks for BTech admission
anam-khan

JEE Main 2025: Why IIT Bombay CSE remains top priority of toppers; cut-offs of last 7 years
anam-khan

JEE Main 2025: NIT cut-off marks for BTech in AI and ML, data science engineering

Latest Question