In how many different ways can the letters of the word LEADER be arranged?
Answer and explanation
Correct answer: A. 360
- Step 1: Count total letters and duplicate letters in the word LEADER: Total letters . The letter 'E' appears twice ( times), and 'L', 'A', 'D', 'R' each appear once.
- Step 2: Use the permutation formula for repeated elements: .
Answer
360.
Why not the others: '720' is without dividing by for repeated 'E'; '120' is ; '240' divides by an incorrect factor of 3.
Practise more Quantitative Aptitude and Applied Mathematics.
Free questions with an explanation for every one, and full timed CUET UG mock tests.
More Quantitative Aptitude and Applied Mathematics questions
- A shopkeeper marks an article at above its cost price and allows a discount of on the marked price. What is the shopkeeper's n…
- A train 180 meters long is traveling at a uniform speed of . How many seconds will it take to completely pass an electric po…
- What sum of money invested at simple interest will amount to 6,400 INR in 2 years and to 7,600 INR in 4 years?
- If and , what is the compound ratio ?
- A and B can complete a work together in 12 days. If A alone can complete the same work in 20 days, how many days will B alone take to finish…
- The average age of a class of 30 students is 15 years. If the teacher's age is included, the average age increases by 1 year. What is the te…