How many different 10-letter permutations can be formed from 8 identical H's and two identical T's?
1 answer:
Answer:
<h3>45 different permutations</h3>Step-by-step explanation:
Given 10 letters with 8 identical H's and two identical T's, the number of different permutations will be expressed as;
<em>Hence the number of different 10-letter permutations that can be formed from 8 identical H's and two identical T's is 45</em>
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The model which model the dimensions of the bed has been attached.
- The perimeter and area of the bed is 10 feet and 24 square feet respectively.
- The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.
- Length of the rectangle = 6 feet
- Width of the rectangle = 4 feet
Perimeter of the bed = 2(length + width)
= 2(6 + 4)
= 2(10)
= 20 feet
Area of the bed = Length × width
= 6 feet × 4 feet
= 24 square feet
- Perimeter of the suitcase = 14 feet
- Perimeter of Lego box = 10 feet
- Perimeter of memory box = 10 feet
- Perimeter of stash = 6 feet
Total perimeter = 14 + 10 + 10 + 6
= 40 feet
Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.
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