Elitmus
Exam
Numerical Ability
Algebra
How many 7 digit numbers are there having the digit 3 three times and the digit 5 four times?
a) 7!/(3!)(5!)
b)3^3*5^3
c)7^7
d)35
Read Solution (Total 10)
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- it will be 7!/3!x 4!, since 3 is occuring 3 times and 5 is occuring 4 times.
Which is 35.
So ans is 35
- 10 years agoHelpfull: Yes(65) No(1)
- for digit 3 it will be 7!/3!
as it can be placed at all the seven positions.
Now for 5 it will be 4! as it can be placed in 4 places
so ans is 7!/3!*4!
- 10 years agoHelpfull: Yes(9) No(2)
- d
ans is 35
- 10 years agoHelpfull: Yes(4) No(1)
- d) 35
from 7 digit there are 7! number,
but 3,4 are repeating
total numbers are 7!/3!*4!=35 - 10 years agoHelpfull: Yes(2) No(1)
- 33355555
7!/(3!*5!) - 10 years agoHelpfull: Yes(1) No(17)
- There are basically 7 places so using permutation formula for arrangment
7!/3!*4!
since 3! because (7-4)!
and 4! because(7-3)! - 10 years agoHelpfull: Yes(1) No(0)
- 35WILLBE THE ANS BECAUSEWECAN CHOSE 3PLACES AMONG=7C3 WAYS
and then arrange 5 in remaining places hence=7c3/4!*3!=35ans - 10 years agoHelpfull: Yes(0) No(1)
- Here 7!/(3! * 5!)
Finally u got ans is 35
- 10 years agoHelpfull: Yes(0) No(2)
- 3335555 so and will be 7!/3!4!= 35
- 10 years agoHelpfull: Yes(0) No(0)
- option a) is correct
- 9 years agoHelpfull: Yes(0) No(0)
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