How many three-digit integers can be created from 5 distinct digits?

Question

A) 10
B) 15
C) 20
D) 30
E) 60

saurabh9gupta · Answer

My approach:

pick 3 digits from 5 digits ---> 5 C 3 = 10

and arranging 3 digits in 3! ways = 6

so total = 6*10 = 60

ShankSouljaBoi · Answer

What if a zero gets placed on the first position ?

Bunuel · Answer

In this case a number is no longer a five-digit, it becomes four digit number.

rickyreign · Answer

let's denote each digit of an integer with 1,2,3

1 can be filled in 5 ways
2 in 4
3 in 3

so distinct numbers= 5*4*3=60

p.s. question should mention 5 distinct digits doesn't have 0 in it. else the answer should change to 4*4*3=48, since 023 will be a 2 digit number and not 3 so 1 can be filled in only 4 ways.

chetanraghav1705 · Answer

Why have we not considered repetition here?
The ques isnt asking distinct digits to be picked, but simply stating that 5 digits are distinct.

In my opinion ans should mention 5^3 or 125 as the ans.

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How many three-digit integers can be created from 5 distinct digits?

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How many three-digit integers can be created from 5 distinct digits?

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