Any game that uses features can be used to stimulate logical thinking and it provides an interesting and challenging context for exploring ideas in discrete mathematics.

**SET - Game**

Any game
that uses features can be used to stimulate logical thinking and it provides an
interesting and challenging context for exploring ideas in discrete mathematics.

Now, let
us learn about a SET game

A **SET** game
proves to be an excellent extension for activities that involve organizing the objects
by attributes. The **SET** game builds the cognitive, logical, spatial
reasoning as well as visual perception skills.

The **SET** game
is a puzzle that uses cards which have four features on them. They are shapes, colours,
shades and the number of shapes.

In one full
deck of **SET**
cards, there are **3 different shapes**:
circle, star, square and in **3 different colours**:
red, green, blue.** 3 **Each of these 9 cards** (3 shapes × 3 colours) **have** 3 different shades: **solid, outlined, spiral
and also they can be paired** 3 with different
numbers: **one, two and three. So there are totally **81 cards** **(3 shapes × 3 colours × 3 shades × 3numbers)** in the deck as shown in
Fig. 7.12.

A **SET** which
consists of **three cards** should satisfy
all the **four** following conditions:

(i) All the three cards have the **same shape** or have **three different
shapes**.

(ii) All the three cards have the **same colour** or have **three different
colours**.

(iii) All the three cards have the **same shade** or have **three different
shades**.

(iv) All the three cards have the **same number** or have **three different
numbers**.

* *

*Situation:*

The teacher
displays **12 cards** as shown in Fig. 7.13
and explains how to form a **SET **using these 2 cards and taken from them. Now, follow the step by step** **procedure to figure out the third
card to complete this **SET** is as follows**.**

Remember,
a **SET**
consists of 3 set of cards.

**STEP 1:** If you look at the **shape**
then, **one is star **** **and the
other one is also **star**. These two cards have the **same shape**.
So, the last card also should have the **same
shape**.

**STEP 2: **If you look at the** ****colour**** **then,** ****one is green **** **and the **other is red **** **These
two cards have **different colours**. So,
the last card also should have a **different colour **that is** blue**.** **

**STEP 3:** If you look at the **shade**
then, **one is solid **** **and
the other is also **solid ** These two
cards have the

**STEP 4: **If you look at the** ****number**** **then,** ****one star card is green solid **** **and the** **other has **two star red solid cards ** So, the last
card also should have a **different number
three blue cards**. Therefore
these three set of cards have different numbers and different colours with same
shape and shade**.**

Finally,

**Shape** : All same ✓ **Colour** : All different✓

**Shade** : All same ✓ **Number :** All different ✓

**Now, this completes the rules for a** SET.

Now, the
teacher asks the students to find two more **SET**s from Fig.7.13. Let us check the **SET** again.

1.

**Shape** : All same ✓ **Colour** : All same ✓

**Shade** : All different ✓ **Number** : All same ✓

Yes, This
is a SET.

2.

**Shape** : All different ✓ **Colour** : All different ✓

**Shade** : All different ✓ **Number** : All different ✓

**Yes, This is a SET.**

Again , the
teacher makes an arrangement of cards and asks them to check **whether,** **it forms a SET**?

3.

**Shape :** All same or all different × **Colour :** All same or all different ×

**Shade :** All same or all different × **Number :** All same or all different ×

**No, this is not a SET.**

Since, the
above **SET**
does not complete the **SET** rule.

Thus,we come
to know a **SET**
consists of **3 set of cards** in which each
individual feature is either **all same** on each card or **all different** on each card.

** **

**Activity**

Choose the correct card to complete the perfect **SET**. One is done for you.

**1. Answer: (iii) ; ****2. Answer: (ii) ; ****3. Answer: (ii) ; ****4. Answer: (i) ; ****5. Answer: (ii)**

** **

**Try these**

1. Find any five **SET**s among these set of cards
(repetition of cards allowed).

**Solution:**

(i) (a), (c), (h)

(ii) (e), (g), (j)

(iii) (a), (b), (d)

(iv) (f), (i), (j)

(v) (f), (i), (h)

2. This is an example for a magic square in **SET**s.
Can you make another two?

**Solution:**

Repeat one square with every thing 2 another square with
everything 3.

Tags : Information Processing | Chapter 7 | 8th Maths , 8th Maths : Chapter 7 : Information Processing

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