Other Topics Puzzle – Challenge 98

Time to challenge and tease your brain with another great math puzzle. Let's see if you can solve it. The solution is also provided.

Other Topics Puzzle – Challenge 98

Challenge:

In how many ways can Ann, Bea, Cam, Don, Ella and Fey be seated on a straight line if Ann and Bea cannot be seated next to each other?

A- 240

B- 360

C- 480

D- 620

E- 720

The Absolute Best Book to Challenge Your Smart Student!

$11.99
Satisfied 123 Students

The correct answer is C.

The formula for N people to sit in a straight line is N! and at a round table there is (n-1)!.
There are six people. So, the number of different ways to sit them is 6! = 720
From these 720 ways, we must subtract the number of ways that Ann and Bea can sit next to each other.
The cases we need to subtract from whole are the ways of seating 5 persons and one “pair”. That would be 5! or 5 × 4 × 3 × 2 × 1 = 120
However, there are two ways Ann and Bea could sit, Ann left of Bea or Bea left of Ann.
So, we double 120 ways to 240 ways.
Answer: 720 – 240 = 480

The Best Books to Ace Algebra

$14.99
Satisfied 1 Students
$14.99
Satisfied 92 Students
$15.99
Satisfied 125 Students

Related to This Article

What people say about "Other Topics Puzzle – Challenge 98 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply

X
45% OFF

Limited time only!

Save Over 45%

Take It Now!

SAVE $40

It was $89.99 now it is $49.99

The Ultimate Algebra Bundle: From Pre-Algebra to Algebra II