How many ways can a team of 4 engineers be selected from a group of 7 engineers

a) 28
b) 35
c) 5,040
d) 840

There are 35 ways a team of 4 engineers can be selected from a group of 7 engineers ⇒ b

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula , where

The order is not important in this problem, so we can use the  combination

∵ The group has 7 engineers

∴ n = 7

∵ The team has 4 engineers

∴ r = 4

∵  

∴  

∴  

∵ 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

∵ 4! = 4 × 3 × 2 × 1

∵ 3! = 3 × 2 × 1

∴ =

∴  = 35

There are 35 ways a team of 4 engineers can be selected from a group of 7 engineers

32

step-by-step explanation: