MATH SOLVE

3 months ago

Q:
# Decide whether the exercise involves permutations or combinations, and then solve the problem. Marbles are being drawn without replacement from a bag containing 1414 marbles. (a) How many samples of 44 marbles can be drawn? (b) How many samples of 22 marbles can be drawn? (c) If the bag contains 44 yellow, 22 white, and 88 blue marbles, how many samples of 33 marbles can be drawn in which all marbles are blue? Does the problem involve permutations or combinations?

Accepted Solution

A:

Answer:CombinationsStep-by-step explanation:Given that marbles are drawn without replacement from a bag containing 14 marblesSince it is without replacement and also order does not matter, we find that only combinations can be used here.a) 4 marbles can be drawn from total 14 marbles in[tex]14C4 = 1001[/tex]b) 2 marbles can be drawn in [tex]14C2 = 91[/tex]c) If 4 yellow, 2 white and 8 blue, 3 blue marbles can be drawn in[tex]8C3 =56[/tex]This problem involves combinations.