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Most Important Selected Qs for JEE AdvancedMathematicsPermutation and Combination

The figures 4,5,6,7,8 are written in every possible order. The number of numbers greater than 56000 is 15 K then K is equal to

Correct answer

90

Step-by-step solution

Case I: When we use 6,7 or 8 at ten thousand place then number of numbers =3 ^4 P₄=72 Case II: When we use 5 at ten thousand place and 6,7 or 8 at thousand place then number of numbers is =1 3 ^3 P₃=18 hence the required numbers of numbers is 72+18=90

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