Answer to Question #288125 in Discrete Mathematics for Ella

Question

How many distinct permutations are there in each word?

20. MOMMY

21. REARRANGE

22. MATHEMATICS

23. PROBABILITY

24. STATISTICS

25. PHILIPPINES

Answer 1

20) $N=\frac{5!}{3!}=20.$

21) $N=\frac{9!}{3!2!2!}=15120.$

22) $N=\frac{11!}{2!2!2!}=4989600.$

23) $N=\frac{11!}{2!2!}=9979200.$

24) $N=\frac{10!}{3!3!2!}=50400.$

25) $N=\frac{11!}{3!3!}=1108800.$