13. How many distinct 4-letter groupings can be made with the letters from the word champion if letters may not be repeated?

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'

Step-by-step explanation:

Given the word 'champion' which is an 8 distinct Letter word. The number of 4 letter groupings that could be formed from it can be given by the permutation since in this case order of letters are important.

The number of distinct 4 letter groupings can be given as;

N = nPr = 8! / (8-4) !, where n = 8 and r = 4

N = 8P4 = 8! / (8-4) !

N = 8!/4!

N = 1680

Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'