Question

How many numbers of three different digits less than 500 can
be formed from the integers 1, 2, 3, 4, 5, 6 ? HSEB 2063​

Answer 1

Answer:

80

Step-by-step explanation.

The given numbers are 1,2,3,4,5,6

Now,

Hundred place can be formed in 4 ways where it should be <5

Tens place can be formed in 5 ways

And unit place can be formed in 4 ways

So,  The total number of arrangement is = (4*5*4) ways

The total number of arrangement is =80 ways.

Answer 2

80 numbers of 3 different digits less than 500 can be formed

from the integers 1, 2, 3, 4, 5 , 6

Given:

• Digits 1 , 2 , 3 , 4 , 5 , 6
• Numbers of 3 different digits less than 500 to be formed

To Find:

• How many numbers can be formed

Solution:

There are 6 digits to select from. (1, 2, 3, 4, 5, 6 )

Number of 3 digits to be formed

Number to be less than 500

As numbers are less than 5 hence  hundreds digit can not be 5 or 6

so number of ways to select hundred digit = 4  (1 ,2  ,3 , 4)

All 3 Digit are different , one digit out of 6 already used

Hence number of ways to select tens digit = 5

Now 4 digits left

Hence number of ways to select unit digit = 4

Total Numbers can be formed = 4 × 5 × 4  = 80

80 numbers of 3 different digits less than 500 can be formed

from the integers 1, 2, 3, 4, 5 , 6