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Numerical Ability
Permutation and Combination
In how many ways can the digit of the number 2233558888 be arranged so that the odd digits are placed in the even positions?
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- even positions=5 so the nos can be placed in 5! ways and 3 is repeated twice and also 5 is repeated twice so... 5!/2!*2!=30
after 4 odd nos are placed then we have 6 positions for other nos to be placed so...same as 6!ways and 2 is repeated twice and 8 is repeated four times... 6!/2!*4!=15
so 30*15=450 - 9 years agoHelpfull: Yes(27) No(0)
- odd place combination = 5!/2!*2!=30
even place combination= 6!/2!*4!=15
to total=30*15=450 - 9 years agoHelpfull: Yes(22) No(10)
- even no=228888, even position=5
odd no=3355, odd position=5
so arrangement is like{ p(5,4)/2!*2!} * {p(6,5)/2!*4!}=450 - 9 years agoHelpfull: Yes(7) No(2)
- (6!/(4!*2!)) * ((5C4*4!)/2!*2!) = 450
- 9 years agoHelpfull: Yes(4) No(2)
- There are four odd digits and five even positions. ODD digists can be placed in 4!/(2!*2!) [since 3 and 5 are repeated twice] = 6
Again the rest of the digits can be placed in 6!/(2!*4!)=15
Therefore no. of possible arrangements = 6*15 = 90 - 9 years agoHelpfull: Yes(3) No(3)
- 4 odd no in 5 even position =4^5/2!2!=256
simillarly 6 even number in 5 odd position= 6^5/2!4!=162
total way is 256*162=41472 - 9 years agoHelpfull: Yes(2) No(2)
- 5p4/(2!2!) * 6!/(4!2!) = 450
odd even - 9 years agoHelpfull: Yes(1) No(0)
- 5!/(2!*2!)
- 9 years agoHelpfull: Yes(0) No(0)
- 5p4*6!
BECZ no. of even places are 5 - 9 years agoHelpfull: Yes(0) No(0)
- ans:450
first arrange evens in odd position by:6!/2!*4!=15 ways
and then remaining numbers arranged in =5!/2!*2!=30 ways
total no of ways=30*15=450
- 8 years agoHelpfull: Yes(0) No(0)
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