Permutation and Combination
- In how many ways, the letters of the word 'ARMOUR' can be arranged ?
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Number of arrangements n ! /( p ! q ! r ! )
Total letters = 6, but R has come twice.
So, required number of arrangements
= 6 ! / 2 !Correct Option: E
Number of arrangements n ! /( p ! q ! r ! )
Total letters = 6, but R has come twice.
So, required number of arrangements
= 6 ! / 2 ! = (6 x 5 x 4 x 3 x 2 !) / 2 ! = 360
- In how many ways, the letters of the word 'BANKING' can be arranged ?
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Total letters = 7, but N has come twice.
So, required number of arrangements = 7 ! / 2 !Correct Option: D
Total letters = 7, but N has come twice.
So, required number of arrangements = 7 ! / 2 !
= [7 x 6 x 5 x 4 x 3 x 2 ! ] / 2 ! = 2520
- In how many ways, the letters of the word 'STRESS' can be arranged ?
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Required number of arrangements = 6 ! / 3 ! [∵ S has come thrice ]
Correct Option: D
Required number of arrangements = 6 ! / 3 ! [∵ S has come thrice ]
= [ 6 x 5 x 4 x 3! ] /3 !
= 120
- In how many different ways, the letters of word 'FINANCE' can be arranged ?
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Total number of letters = 7, but N has come twice.
So, required number of arrangements = 7 ! / 2 !Correct Option: E
Total number of letters = 7, but N has come twice.
So, required number of arrangements = 7 ! / 2 !
= [7 x 6 x 5 x 4 x 3 x 2! ] / 2!
= 2520
- In how many different ways, can the letters of the word 'INHALE' be arranged ?
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The word 'INHALE' has 6 distinct letters.
∴ Number of arrangements = n !Correct Option: A
The word 'INHALE' has 6 distinct letters.
∴ Number of arrangements = n ! = 6 !
= 6 x 5 x 4 x 3 x 2 x 1
= 720
