In how many different ways can the letters of the word 'MIRACLE' be arranged?
2024
In how many different ways can the letters of the word 'MIRACLE' be arranged?
Answer: B. 5040 — Answer: 5040 Reason: There are 7 distinct letters in 'MIRACLE', so the number of different arrangements is the number of permutations of 7 distinct items,…
- A.
720
- B.
5040
- C.
2520
- D.
40320
Attempted by 46 students.
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Correct answer: B
Answer: 5040
Reason: There are 7 distinct letters in 'MIRACLE', so the number of different arrangements is the number of permutations of 7 distinct items, which is 7!.
Count the letters: M, I, R, A, C, L, E → 7 distinct letters.
Use the formula for permutations of n distinct items: n!.
Compute 7!: 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
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