Get Answers to all your Questions

header-bg qa

In how many ways can an Expert team of at least one team leader of each subject be made from 16 Arts experts, 5 Science experts, 6 Commerce experts?

Option: 1

715


Option: 2

713


Option: 3

480


Option: 4

490


Answers (1)

best_answer

Note the following:

  • The formula for the combination for the selection of the \mathrm{x} items from the \mathrm{y}different items is

  • The combination for the selection of the none or more items from the \mathrm{n} identical items is \mathrm{=n+1}

From the available data, the following is evident.

  • The combination for the selection of the one or more Arts experts is\mathrm{=16}

  • The combination for the selection of the one or more Science experts is \mathrm{=5}

  • The combination for the selection of the one or more Commerce experts is\mathrm{=6}

Therefore, the required combination for selection of at least one team leader of each subject is

=16\times5\times6

=480

 

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

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