Question

Find the number of distinct arrangements of the 10 letters in WOODWORKER. Two of the same letter are considered identical (not distinct). x $ ?

Answer 1

Girem word. R WOOD WORKER NO. Of distinct anwangements ? sam lettere considered identical are * No. of lelkery 10. The answer is 10! (we can choose lo in frost slot him second slot, etc.) Llowenea should take repetition of some letters. * We can do this by dividing the repetition, ror Enample. WOODWORKER & one combination and W200D WORKER is amothen combination. since both words are not distinct, we only count them once. * We divide the possible arrangements for each repeating letter .. there are wat (thx 3 repeating letters [w (twice); OC thrice); R (twice)], u we have. No. of distinct 1o! arrangements 2! 3! 2! 36 28800 151200 (2x1)(3x2x1)(2x1)