A three digit number is to be formed using digits 3,4,7,8 and 2 without repetition. The probability that it is an odd number is?
Answers
Answered by
47
2/5
- Three digit numbers that can be formed from 3,4,7,8 and 2 without repetition are: 5*4*3=60
- The odd numbers can be formed when 3 or 7 take units place
- 1st case where units place is taken by 3, three digit numbers that can be formed are: 4*3*1=12
- Similarly, for 7 -> 4*3*1=12
- Total odd numbers=24
- The probability that it is an odd number is given by: 24/60
- Further simplifying, we get 2/5
Answered by
14
Three places of a
3
digit number can be filled by using
5
digits in
=
5
×
4
×
3
=
60
ways.
Number will be odd when either of
3
or
7
is at unit's place.
When
3
is at unit's digit, then remaining
2
places can be filled by using remaining
4
digits in
=
4
×
3
=
12
ways.
Similarly, no. of ways when
7
is at unit's place
=
12
Favorable no. of ways
=
12
+
12
=
24
∴
Required probability
=
24
60
=
2
5
Hence, option A.
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