Hi I was wondering if I could get some help with questions 6, 7, 9, and 11 please? Thank you!
(a) How many elements are there in (a.bl b) How many 4-sequences on (a.bl are there? (c) How many 4-permutations on la.bl are there? d) How many increasing 4-sequences on la.bl are there? such that 6. (a) How many 4-sequences on (0.91 are there? 34+3 or nondecreasing mber 8>0 there is an (b) How many 4-sequences on (0.91 do not begin with 02 (c) How many 4-sequences on (0.9] begin and end with 0? (d) How many 4-sequences on 10.9] do not begin and end with 0? (e) How many 4-sequences on (0.9) do not begin or end with 0? 7. Passwords on a certain system have exactly 5 letters that are either lowercase letters or uppercase letters. (a) How many possible passwords are there? (b) How many possible passwords are there that use only lowercase letters? (c) How many possible passwords are there that use only uppercase letters? (d) How many possible passwords are there that use at least one uppercase entries are nonnegative y increasing. Rarely are s grow very large very d complexity functions. letter and at least one lowercase letter? 8. In LOTTO 6-49, a subset of six numbers is selected at random from 11.491 as the "winning" numbers. How many different selections of winning numbers are there? 9. A personal identification number may be set to be any 4 digits. (a) How many possible PINs are there? (b) How many possible PINs are there that do not have a repeated digit? (c) How many possible PINs are there that do have a repeated digit? both S and T are sequences 10. Suppose that in a certain jurisdiction, license plates have 4 letters followed by 3 digits and all such character sequences are possible. (a) Show that the number of license plates that have exactly two T's and end y number c. (b) Show that the number of license plates have the letter T and the digit 4 ose a tree diagram to show that there are exactly 22 nondecreasing sequences in a 5 is 375,000. (someplace) in them is 17,981,121 positive integers that add up to 8. kn and let B denote the number of k-subsets in th 3? re there? (a) How many elements are there in (a.bl b) How many 4-sequences on (a.bl are there? (c) How many 4-permutations on la.bl are there? d) How many increasing 4-sequences on la.bl are there? such that 6. (a) How many 4-sequences on (0.91 are there? 34+3 or nondecreasing mber 8>0 there is an (b) How many 4-sequences on (0.91 do not begin with 02 (c) How many 4-sequences on (0.9] begin and end with 0? (d) How many 4-sequences on 10.9] do not begin and end with 0? (e) How many 4-sequences on (0.9) do not begin or end with 0? 7. Passwords on a certain system have exactly 5 letters that are either lowercase letters or uppercase letters. (a) How many possible passwords are there? (b) How many possible passwords are there that use only lowercase letters? (c) How many possible passwords are there that use only uppercase letters? (d) How many possible passwords are there that use at least one uppercase entries are nonnegative y increasing. Rarely are s grow very large very d complexity functions. letter and at least one lowercase letter? 8. In LOTTO 6-49, a subset of six numbers is selected at random from 11.491 as the "winning" numbers. How many different selections of winning numbers are there? 9. A personal identification number may be set to be any 4 digits. (a) How many possible PINs are there? (b) How many possible PINs are there that do not have a repeated digit? (c) How many possible PINs are there that do have a repeated digit? both S and T are sequences 10. Suppose that in a certain jurisdiction, license plates have 4 letters followed by 3 digits and all such character sequences are possible. (a) Show that the number of license plates that have exactly two T's and end y number c. (b) Show that the number of license plates have the letter T and the digit 4 ose a tree diagram to show that there are exactly 22 nondecreasing sequences in a 5 is 375,000. (someplace) in them is 17,981,121 positive integers that add up to 8. kn and let B denote the number of k-subsets in th 3? re there
