I just need an explanation with the answers on numbers 12-13. Thanks 12. A pin \

Question

I just need an explanation with the answers on numbers 12-13. Thanks

12. A pin "number" to access an Online Bank account is to consist of two letters followed by 6 digits a. How many pin "numbers" are possible if repetition of letters and digits is permitted? 12a How many pin "numbers" are possible if repetition of letters and digits is not permitted? b. 12b._ 13. A coin collectors club consists of 13 members. How many different arrangements of president, vice president, treasurer, and fifth officer are possible? 13.-

Explanation / Answer

12 a) here as for there are 26 letters and 10 digits are there and repetiotions are allowed;

tehrefore total number of pin combinations =262*106 =676000000 ( I am assuming only capital letters are allowed)

b) for no repetitions ; number of pin combinations =26*25*10*9*8*7*6*5=98280000

c)here we need to select 4 people out of 13 and then assingn 4 differnet position them

number of ways to do that =P(13,4) =13!/(13-4)! =17160

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