## Numbers forming using given digits

## Try These (1) Solution

Question (1) Use the given digits without repetition and make the greatest and smallest 4-digit numbers

(a) 2, 8, 7, 4

**Answer**

The greatest number: 8742

And, the smallest number: 2478

(b) 9, 7, 4, 1

**Answer**

The greatest number: 9741

And, the smallest number: 1479

(c) 4, 7, 5, 0

**Answer**

The greatest number: 7540

And, the smallest number: 4057

(d) 1, 7, 6, 2

**Answer**

The greatest number: 7621

And, the smallest number: 1267

(d) 5, 4, 0, 3

**Answer**

The greatest number: 3540

And, the smallest number: 3045

Question (2) Now make the greatest and the smallest 4-digit numbers by using any one digit twice.

(a) 3, 8, 7

**Answer**

The greatest number: 8873

And, the smallest number: 3378

(b) 9, 0, 5

**Answer**

The greatest number: 9950

And, the smallest number: 5009

(c) 0, 4, 9

**Answer**

The greatest number: 9940

And, the smallest number: 4009

(d) 8, 5, 1

**Answer**

The greatest number: 8851

And, the smallest number: 1158

Question (3) Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given

(a) Digit 7 is always at ones place

The greatest number: 9867

The smallest number: 1027

**(This question has already been solved and given as example)**

(b) Digit 4 is always at tens place

**Answer**

The greatest number: 9846

The smallest number: 1243

(c) Digit 9 is always at hundreds place

**Answer**

The greatest number: 8976

The smallest number: 1923

(d) Digit 1 is always at thousands place

**Answer**

The greatest number: 1987

The smallest number: 1234

Question (4) Take two digits, say 2 and 3. Make 4-digit numbers using both digits equal number of times.

Which is the greatest number?

**Answer**: The greatest number is 3322

Which is the smallest number?

**Answer**: The smallest number is 2233

How many different numbers can you make in all?

**Answer**: Total six

2233, 2323, 2332, 3322, 3232, 3223

### Stand in proper order

The height of Ramhari = 160 cm, Dolly = 154 cm, Mohan = 158 cm and Shashi = 159

Question (1) Who is the tallest?

**Answer**

Ramhari is the tallest.

Question (2) Who is the shortest?

Dolly is the shortest.

(a) Can you arrange them in the increasing order of their height?

**Answer**

The increasing order of the height of given persons is

Dolly (154 cm) < Mohan (158 cm) < Shashi (159 cm) < Ramhari (160 cm)

(b) Can you arrange them in the decreasing order of their heights?

**Answer**

The decreasing order of the height of given persons is

Ramhari (160 cm) > Shashi (159 cm) > Mohan (158 cm) > Dolly (154 cm)

Which to buy?

Sohan and Rita went to buy and almirah. There were many almirah available with their price tags.

Price of Almirah: ₹ 2635, ₹ 1897, ₹ 2854, ₹ 1788, ₹ 3975

**Solution**

If Sohan and Rita want to buy the cheapest, then they will buy almirah with price ₹ 1788 **Answer**

(a) Can you arrange their prices in increasing order?

**Answer**

The increasing order of the price of almirah is

₹ 1788 < ₹ 1897 < ₹ 2635 < ₹ 2854 < ₹ 3975

(b) Can you arrange their prices in decreasing order?

**Answer**

The decreasing order of the price of almirah is

₹ 3975 > ₹ 2854 > ₹ 2635 > ₹ 1897 > ₹ 1788

## Try These (2) Solution

Question (1) Arrange the following numbers in ascending order:

(a) 847, 9754, 8320, 571

**Answer**

The ascending order of the given numbers is

571 < 847 < 8320 < 9754

(b) 9801, 25751, 36501, 38802

**Answer**

The ascending order of the given numbers is

9801 < 25751 < 36501 < 38802

Question (2) Arrange the following numbers in descending order:

(a) 5000, 7500, 85400, 7861

**Answer**

The descending order of the given numbers is

85400 > 7861 > 7500 > 5000

(b) 1971, 45321, 88715, 92547

**Answer**

The descending order of the given numbers is

92547 > 88715 > 45321 > 1971