Respuesta :

Answer:

2300 ways

Step-by-step explanation:

in this problem, we are expected to use commination to arrive at a solution

Given data

number of employee= 25

number of team=3

The expression for combination is given as

C(n,r)=(nr)=n!/(r!(n−r)!)

C(25,3)=25!/(3!(25−3)!)

C(25,3)=25!/(3!(22!)

C(25,3)=25*24*23*22!/3!(22!)

C(25,3)=25*24*23*/3!

C(25,3)=25*24*23*/3*2*1

C(25,3)=25*24*23*/6

C(25,3)=13800/6

C(25,3)=2300 ways

The number of ways where a store manager arranges a group is 50,600.

Given that,

  • There is a  group of 1 team leader and 3 team workers from his 25 employees.

Based on the above information, the calculation is as follows:

[tex]= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4[/tex]

= 50,600

Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.

Learn more: brainly.com/question/16115373