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← JEE Main 2015 · 4 Apr · Shift 1
MathematicsSingle correct+4 / -1Question 66 of 90

JEE Main 2015 · 4 Apr · Shift 1, Mathematics question 66

The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :

Choose one option
Answer and worked solution

Official answer: B

  • All 5-digit numbers: 5!=1205!=120.
  • 4-digit numbers above 6000 must start with 6, 7 or 8: 3×4×3×2=723\times4\times3\times2=72.

Total 192.