profile-img
Vijay Singh chauhan Asked a Question
July 30, 2022 4:35 pmpts 30 pts
88, Let Gbe a group and let Hand K be two subgroups of G. If both H and K have 12 elements, which of the follow- ing numbers cannot be the cardinality of the set HK = hk:h e H, k e K}? ITIFR 2014] (a) 72 (b) 60 (c) 4 48 ) 36
  • 1 Answer(s)
  • 0 Likes
  • 1 Comments
  • Shares
  • Navdeep goyal 1 Best Answer
    at-least we expect to have (|HK|) divides (|H||K|=12^2=144). Here, (72,48,36) all divide (144) but (60) does not divide (144) therefore (|HK|) can not be (60). so B
    Likes(0) Reply(0)