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Answer:
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
- n represents the total number of items
- r represents the number of items being chosen at a time.
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