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MMLU-Pro / 7785 / A boy found a bicycle lock for which the combination was unknown. The correct…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A boy found a bicycle lock for which the combination was unknown. The correct combination is a four-digit number, d1d2d3d4d_1 d_2 d_3 d_4, where di,i=1,2,3,4d_i, i=1,2,3,4, is selected from 1,2,3,4,5,6,71,2,3,4,5,6,7, and 8 . How many different lock combinations are possible with such a lock?
Plain-text mathematical notation (without MathML)
A boy found a bicycle lock for which the combination was unknown. The correct combination is a four-digit number, d₁d₂d₃d₄, where d_(i),i=1,2,3,4, is selected from 1,2,3,4,5,6,7, and 8 . How many different lock combinations are possible with such a lock?
Original LaTeX notation
A boy found a bicycle lock for which the combination was unknown. The correct combination is a four-digit number, $d_1 d_2 d_3 d_4$, where $d_i, i=1,2,3,4$, is selected from $1,2,3,4,5,6,7$, and 8 . How many different lock combinations are possible with such a lock?

category

math

options

  1. 32768
  2. 8192
  3. 2048
  4. 1000
  5. 7000
  6. 256
  7. 4096
  8. 16384
  9. 1024
  10. 512

src

scibench-stat

Discussion

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Source and history

upstream_id / Original problem ID
7785
task_id
67b06914-4e98-5ba2-a200-fc246b2820d7
task_key
default--test--7785
task_revision_id
1
config / split
default / test

Official source

initial import