6. Evaluate the following without using a calculator: a. 10P6 7. How many ways c

Question

6. Evaluate the following without using a calculator: a. 10P6 7. How many ways can an IRS auditor select 4 of 7 tax returns for an audit? 8. For a group of ten people, how many ways can four of them be seated in four chairs? 9. License plates are made using 4 letters followed by 2 digits in a certain country. a. How many plates can be made if repetition of letters and digits is allowed? b. How many plates can be made if repetition of letters and digits is not allowed 10. How many different codes of 4 digits are possible if the first digit must be 3,4, or 5 and if the code may not end En 0? MacBook Air FS B0 F 9 0 3 4 5

Explanation / Answer

6) we know that npr = n!/(n-r)!

a) 10P6 = 10!/ (10-6)!

= 10!/4! = 10*9*8*7*6*5 = 151200

b) 9C4 = 9!/4!(9-4)!

= 9!/4!*5!

= 9*8*7*6*5*4*3*2/(4*3*2)(5*4*3*2)

= 126

  

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