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Counting and Basic Probability · Question 26 of 65

Question 26

MediumOriginal question

Five friends, including Anjali and Bhavesh, stand in a row for a photograph. In how many arrangements do Anjali and Bhavesh stand next to each other?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Tie Anjali and Bhavesh into one block. Now there are 4 units to arrange: 4!=244! = 24 ways.

  2. Inside the block they can stand in 2 orders.

  3. Arrangements =24×2=48= 24 \times 2 = 48.

Worth noting

24 forgets that the pair can swap places. 72 is the number of arrangements where they are NOT together.

Concept
Treating people who must be together as one block
Typical time
70 s
Your time
—
The rule this testsArrangements and selections
Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.

Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.