Your grandparents bring you a 1:800 scale model of the Eiffel Tower after a trip to Paris. The height of the model is 40.5 centi
2 answers:
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Answer:
a) 1820
b) 55
c) 10
d) 550
e) 0.3022
Step-by-step explanation:
Data provided in the question:
Number of seniors = 11
Number of juniors = 5
n = number of choices
r = number of person to be selected
number of ways =
a) 4-sprinter relay teams can be formed from the group of 16 sprinters
n = 16
r = 4
= ¹⁶C₄
=
=
=
b) two seniors be chosen to be part of the relay team
n = 11
r = 2
= ¹¹C₂
=
=
=
c) two juniors be chosen to be part of the relay team
n = 5
r = 2
= ⁵C₂
=
=
= 10
d) two seniors and two juniors be chosen to be part of the relay team
= two seniors be chosen to be part of the relay team × two juniors be chosen to be part of the relay team
= 55 × 10
= 550
e) P( two seniors and two juniors will be chosen for the relay team )
= [ two seniors and two juniors be chosen to be part of the relay team ] ÷ [4-sprinter relay teams can be formed from the group of 16 sprinters ]
= 550 ÷ 1820
= 0.30219 ≈ 0.3022