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Numerical Ability
Permutation and Combination
How may 5 digit odd numbers can be formed from 1 2 3 4 5?
Read Solution (Total 6)
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- Since the number is odd last digit is 1,3,or 5
When last digit is 1 , remaining 4 digits can be arranged in 4!= 24 ways
Similarly when last digit is 3, number of ways = 24
and last digit 5, number of ways = 24
Total number of 5 digit odd numbers = 24*3 = 72
- 10 years agoHelpfull: Yes(34) No(2)
- with repetition=(5*5*5*5*3)= 1875 ways
without repetition= (1*2*3*4*3)= 72 ways - 10 years agoHelpfull: Yes(33) No(0)
- 1.without repetition: last digit should be an odd number then only number is odd
- - - - 1
4 3 2 1 ways we can arrange total = 4*3*2*1=24 ways
we have odd numbers 3, so total no of ways = 24*3=72 ways
1.with repetition: last digit should be odd number
- - - - 1
5 5 5 5 ways we can arrange total = 5*5*5*5=625 ways
we have odd numbers 3, so total no of ways =625*3=1875 ways - 10 years agoHelpfull: Yes(4) No(0)
- 3*4*3*2=72
- 10 years agoHelpfull: Yes(0) No(3)
- odd number
4*3=12 - 10 years agoHelpfull: Yes(0) No(6)
- with repetition 15
without repetition 12 - 10 years agoHelpfull: Yes(0) No(6)
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