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The digits 1, 2, 3, 4 and 5 can arranged to form many differentsike 5 -digit positive integers with five distinct digits. In how many suc: integers is the digit 1 to the lefit,3.9 the digit 2? Two such integers to include are 14,352 and 51,234

The digits 11, 22, 33, 44 and 55 can arranged to form many differentsike 55 -digit positive integers with five distinct digits. In how many suc: integers is the digit 11 to the lefit,33.99 the digit 22? Two such integers to include are 1414,352352 and 5151,234234

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Q. The digits 11, 22, 33, 44 and 55 can arranged to form many differentsike 55 -digit positive integers with five distinct digits. In how many suc: integers is the digit 11 to the lefit,33.99 the digit 22? Two such integers to include are 1414,352352 and 5151,234234
  1. Identify Total Permutations: Identify the total number of ways to arrange the digits without any restrictions.\newlineSince there are 55 distinct digits, the number of permutations is 55 factorial (5!5!).\newlineCalculation: 5!=5×4×3×2×1=1205! = 5 \times 4 \times 3 \times 2 \times 1 = 120
  2. Calculate Total Permutations: Recognize that the condition "11 is to the left of 22" divides the total permutations into two equal groups: one where 11 is to the left of 22, and one where it is not.\newlineSo, we take half of the total permutations to satisfy the condition.\newlineCalculation: 120/2=60120 / 2 = 60

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