Question

Isabel is the name of a girl with a prodigious ability for languages ​​and accents. She has demonstrated that she is capable of speaking Spanish with a Puerto Rican accent, Dominican, Cuban, Mexican, Venezuelan, Argentine and Spanish. In addition to communicating in French, Italian, German and Hebrew. The most surprising thing is that she can go from one to another in the same conversation without transition. Assume that you develop a paragraph from 10 sentences and asks Isabel to present it using a different accent or language to each sentence. to.

a. In how many different ways is Isabel capable of exposing that paragraph?

b. Assuming that all possibilities are equally probable, what is the How likely is Isabel to start with Venezuelan Spanish and end with French?

Answer 1

In total Isabel can communicate in 11 language or accents

a) so let us assume those 10 lines as 10 seats

the first seat can be filled in 11 ways

the second seat can be filled in 10 ways since each line should be expressed in a unique language or accent

the third seat in 9 ways and so on

therefore all 10 lines can be filled in = 11*10*9*8*7*6*5*4*3*2= 11P10=39916800 ways

b)Isabel starts with Venezuelan Spanish and ends with french

therefore the first and last line are fixed and the middle 8 lines must be filled with remaining 9 lines in the same way as in question a

so the no. ways in which those 8 lines can be filled = 9*8*7*6*5*4*3*2= 9P8 = 362880

we have already found out the total no. of ways in part a which is 39916800

therefore the probability of Isabel starting with Venezuelan Spanish and ending with french is

= 362880/39916800= 1/110