How many distinct \"words\" can you make from the letters in the word VARIABLE.

Question

How many distinct "words" can you make from the letters in the word VARIABLE. Note that each "word' does not to make sense, but just be distinguishable from the other "words". In a club there are 7 women and 5 men. A committee of 3 women and 2 men is to be chosen. How many different possibilities are there? In a certain factory. machines I, II and III are all producing same length. Of their production, springs of the machines I, II, and III produce 3, 1, and 2% defective springs, respectively. Of the total production of springs in the factory, machine I produces 25%, machine II produces 35%, and machine III produces 40%. If one spring is selected at random from the total springs produced in a day, determine the following. (a) What is the probability that spring is defective? (b) If the selected spring is defective, what is the probability that it was produced by machine III? If two 6-sided dice are rolled, what is the probability of getting the same number on each die (i. e. getting doubles)? A median of a distribution of one random variable, X, is a value x of X, such that P(X

Explanation / Answer

17.

variable = 8 letters

8 letters among them selves in 8! places

answer is 8!=40320 words(non meaningful)

18)7c3*5c2=35*10=350

20) total outcomes=6*6=36

same number set(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)=6

=6/36=1/6=0.1666666

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