Youtube is organizing an event with seven content creators - A, B, C, D, E, F and G, by grouping them into three teams based on - Travel, Beauty and Tech. Each team needs at least 2 content creators, and a creator can be only in a single team. There are certain constraints on the team formations:
a) A and B refuse to be on the same team. b) C can be in team Travel or Beauty but not Tech. c) If D goes to Tech then E also must be in Tech. d) F must be with either A or B but not both and not in the Travel team e) G must be in team Travel f) The Tech team should have exactly 2 members g) No team can have more than 3 creators. h) E must not be in same team as G i) C and B must be on the same team j) A cannot be in team Beauty Who are the members of the Beauty Team?Step-by-step Solution:
Based on (e), G is in the Travel team. Based on (b) and (i), C and B are together and must be in Travel or Beauty. If C and B are in Travel, Travel becomes {G, C, B}, which is full (max 3). Since (d) states F must be with A or B and NOT in Travel, F cannot be with B. F must be with A. Since Travel is full and (j) states A cannot be in Beauty, A and F must be in Tech. This gives Tech = {A, F}, meeting its exact 2 member quota. Then D and E must be in Beauty. However, this configuration does not match any of the given options. Let's place C and B in Beauty. Then Beauty = {C, B}. Since F must be with B (and not in Travel), F joins Beauty. So Beauty = {C, B, F}. This maxes out Beauty. G is in Travel. E cannot be with G (h), so E cannot be in Travel. E must be in Tech. If E is in Tech, D must be in Tech (c). Thus Tech = {D, E}, fulfilling the 2-member limit. A must then be in Travel. Travel = {G, A}, which fits all conditions (A and B are separated, A is not in Beauty, etc.). Therefore, the Beauty team members are B, F, and C.