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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: In how many different ways can the letters of the word JUMBLE be arranged? Quantity B: In how many different ways can the letters of the word BOTTLE  be arranged?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: In how many different ways can the letters of the word JUMBLE be arranged? Quantity B: In how many different ways can the letters of the word BOTTLE  be arranged? Correct Answer Quantity A > Quantity B

Solving for Quantity A -

The word JUMBLE consist 6 distinct letters

Number of arrangement = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

Solving for Quantity B -

The word BOTTLE consists of 6 letters in which letter T repeats.

Number of arrangement possible = 6!/2! = (6 × 5 × 4 × 3 × 2 × 1)/(2 × 1) = 360

∴ Quantity A > Quantity B

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