Question

Which scenario has more arrangements?:2:• 5 letter arrangements using the letters from the word CHAMPION.• 4 letter arrangements using the letters from the word ABRUTPING.. The total number of ways the word EDMONTON can be arranged.Prepare your work on paper, take an image and post in the answer box provided.s:ParagraphVB1UAVLato (Recom19pxVEa5 с:

Answer 1

This is a simple question to solve. Let's first calculate all the arrangements for the first case to understand the logic:

As we can see above, once we have 8 letters, and we need to calculate the numbers of arrangements with 5 letters, for the first letter we have 8 possible letters, for the second letters we have 7 possible letters once one letter was used for the first one. For the third letter we have 6 possible letters, for the fourth, 5 possible letters and for the fifth, 4 possible letters. So, we just multiply 8*7*6*5*4 = 6720 possible arrangements.

For the second situation we can follow the same logic:

And finally for the third situation we have:

As we can see above, the third scenario has more arrangements.