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If the permutations of a, b, c, d, e tak...

If the permutations of a, b, c, d, e taken all together be written dowan in alphabetical order as in dictionary and numbered then the rank of the permutation debac, is

A

90

B

91

C

92

D

93

Text Solution

Verified by Experts

The correct Answer is:
D
The letters in alphabatical order are abcde
`a to 4!=24`.
`b to 4!=24" "dc to 3!=6`
`c to 4!=24" "dea to 2!=2`
`da to 3!=6 " becac"to1`
`therefore`The rank of debac=24+24+24+6+6+6+2+1=93
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Single Option Correct Type Questions)
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  5. State { 2 ,3 , 4 } is a subset of { 1 , 2 , 3, 4 , 5 } ?

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  6. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

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  7. Let A be a set of n (>=3) distinct elements. The number of triplets (x...

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  8. The total number of five-digit numbers of different digits in which ...

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  9. The total number of words that can be formed using all letters of the ...

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  11. The number of three digit numbers of the form xyz such that x lt y , z...

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  14. Let A be the set of 4-digit numbers a1 a2 a3 a4 where a1 > a2 > a3 > a...

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  15. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  16. Find the total number of positive integral solutions for (x,y,z) such ...

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  18. In how many ways can a team of 6 horses be selected out of a stud o...

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  19. The number of polynomials of the form x^(3)+ax^(2)+bx+c that are divis...

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