About Vivian Expertise I can answer questions on probability, distributions, statistical inference, statistical estimation, hypothesis testing, analysis of categorical data, linear regression, generalized linear regression, ANOVA, and linear mixed models. I cannot answer questions on stochastic processes.
Experience I have worked as a research assistant at the University of Michigan, Ann Arbor for two years.
Organizations American Statistical Association
Education/Credentials University of Michigan, Ann Arbor
Master of Science
Question how many distinct permutations can be formed from the letters of th word PLANE
Answer The number of ways to arrange all the alphabets in the word is 5! (5 factorial).
The number of permutations of the 5 letters taken 4 letters at a time is 5*4*3*2
The number of permutations of the 5 letters taken 3 letters at a time is 5*4*3
The number of permutations of the 5 letters taken 2 letters at a time is 5*4
The number of permutations of the 5 letters taken 1 letters at a time is 5
Just sum all of them, you will get the answer. Please do the math.
Hope it is helpful. Please feel free to ask me any questions about it.