How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?
A) 60 B) 26 C) 50 D) 64
Answers
Answer:
5P3 = 5!/(5-3)! = 5!/2!
= 5×4×3×2×1/2×1
= 60
60, 3-digits numbers are formed from the given digits without repetition.
Option A is correct.
Given
- Digits 1,4,7,8 and 9.
To find:
- How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?
- A) 60
- B) 26
- C) 50
- D) 64
Solution:
Concept to be used:
If out of n objects, r objects are choosen without repetition, then number of arrangements are
Step 1:
Write the terms used for permutation.
Digits given: 1,4,7,8, and 9
3-digit number to be formed, so
Step 2:
Write the number formed.
3-digit numbers formed by given digits are
Thus,
60, 3-digits numbers are formed from the given digits without repetition.
Option A is correct.
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