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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In how many different ways you can arrange the letters of the word 'QUANTITY'? Quantity B: In how many different ways you can arrange the letters of the word 'SUBJECT'?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In how many different ways you can arrange the letters of the word 'QUANTITY'? Quantity B: In how many different ways you can arrange the letters of the word 'SUBJECT'? Correct Answer Quantity A > Quantity B

Quantity A:

Required no. of ways = (Factorial of total no. of letters) / (Factorial of total no. of letters repeated)

⇒ Required no. of ways = 8!/2! = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (2 × 1) = 20160

Quantity B:

Required no. of ways = (Factorial of total no. of letters) / (Factorial of total no. of letters repeated)

⇒ Required no. of ways = 7!/1! = (7 × 6 × 5 × 4 × 3 × 2 × 1) /1 = 5040

∴ Quantity A > Quantity B

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