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Most Important Selected Qs for JEE AdvancedMathematicsProbability

Seven digit numbers are formed using digits 1,2,3,4,5,6,7,8,9 without repetition. The probability of selecting a number such that product of any 5 consecutive digits is divisible by either 5 or 7 is p . Then 12 p is equal to___

Correct answer

7

Step-by-step solution

p = ^3 C ₁ ^8 P ₆+ ^3 C ₁ ^8 P ₆- ^3 P ₂ ^7 P ₅ ^9 P ₇ = 7 12

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