Chapter 1: Q. 1.23 (page 16)

A psychology laboratory conducting dream research contains $3$ rooms, with $2$ beds in each room. If $3$ sets of identical twins are to be assigned to these $6$ beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?

Short Answer

Expert verified

The possible number of assignments are $48$ .

Step by step solution

Step 1. Given information.

It is given that,

No. of rooms $= 3$

No. of beds in each room $= 2$

So, total number of beds $= 3 \times 2 = 6$

Step 2. Find possible number of assignments.

No. of ways to distribute $3$ pair of twins in $3$ rooms $= 3! = 3 \times 2 \times 1 = 6$

No. of ways to allocate bed to each twin $= 2! = 2 \times 1 = 2$

Therefore, the possible number of assignments are $= 6 \times 2 \times 2 \times 2 = 48$ .

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A psychology laboratory conducting dream research contains $3$ rooms, with $2$ beds in each room. If $3$ sets of identical twins are to be assigned to these $6$ beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find possible number of assignments.

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A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room. If 3 sets of identical twins are to be assigned to these 6 beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find possible number of assignments.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Probability and Statistics

Calculus

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

A psychology laboratory conducting dream research contains $3$ rooms, with $2$ beds in each room. If $3$ sets of identical twins are to be assigned to these $6$ beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?