Question

A planning committee for a major development project must consist of 6 members. There are 8 architects and 5 engineers. In how many ways can this planning committee be formed?

Answer 1

Step-by-step explanation:

Given A planning committee for a major development project must consist of 6 members. There are 8 architects and 5 engineers. In how many ways can this planning committee be formed?

• So a planning committee for a project needs to have 6 members. So there are 8 architects and 5 engineers
• So total number of architects and engineers will be 8 + 5 = 13 (since there is no restriction on choosing)
• So we have n C r = n! / r! (n – r)!
•                 So 13 C 6 = 13! / 6! (13 – 6)!
•                                  = 13! / 6! 7!
•                                 = 13 x 11 x 12
•                                = 1716 ways                                                  

Reference link will be

https://brainly.in/question/6136820

Answer 2

Answer:

1716ways hope it helps you