Formation Of Numbers From Digits


 
 
Concept Explanation
 

Formation Of Numbers From Digits

Any three digit number is formed by a combination of three digits.

For example 138 is a three digit number formed by the combination of 1, 3 and 8,

Another number that can be formed by 1, 3 and 8 are 183, 381, 318, 813 and 831.

All these numbers are different

138 =  1 hundred 3 tens and 8 ones.

183 =  1 hundred 8 tens and 3 ones

381 =  3 hundred 8 tens and 1 ones

318 =  3 hundred 1 tens and 8 ones

813 =  8 hundred 1 tens and 3 ones

831 =  8 hundred 3 tens and 1 ones

Illustration 1: The number formed by the three digit 1, 4 and 7 are ____________

A..135

B.  447   

C. 417

D. 731

Answer: C

Solution:

From the options available only number 417 can be formed by the combination of digits 1, 4 and 7

Another number that can be formed by 1, 4 and 7 are 147, 174, 471, 714 and 741.

Hence the correct option is C

Illustration 2: The numbers 831 can be formed by _______________ digits.

A. 1, 2, 3

B.  2, 4, 6 

C.  8, 8, 2

D. 8, 1, 3

Answer: D

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