A plane flight with 17 passengers is required to randomly sample six of the pass

Question

A plane flight with 17 passengers is required to randomly sample six of the passengers for extra security screening. How many different groups of six passengers could be selected?

8,910,720 groups

12,376 groups

720 groups

102 groups

A home builder has six different house models for customers to select. He is starting a new subdivision and will build four different sample models for potential customers to view along one street in the new subdivision. How many different arrangements of the four sample homes are possible?

360 arrangements

30 arrangements

24 arrangements

15 arrangements

An election has five items on the ballot. The first item of the ballot has 4 choices, the second item has 6 choices, the third item has 5 choices, the fourth item has 2 choices, and the fifth item has 2 choices.

Assuming no item ends in a tie, how many different configurations of winning choices are possible?

11,628 configurations

480 configurations

120 configurations

19 configurations

8,910,720 groups

12,376 groups

720 groups

102 groups

Explanation / Answer

Solution:

17 passengers is required to randomly sample six of the passengers

therefore group of six friends can be selected from 17 passengers

selection of first one can be 17 ways

and second one can be 16 wasy up to 4 times more ( Because we have to select 6 person)

different groups of six passengers could be selected = P(17 , 6) = 17 x16x15x14x13x12 = 8,910,720 groups

Answer: Option (a) is correct

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.