Answer:
Total number of ways 6 red marbles can be chosen=541549008
Step-by-step explanation:
16 marbles are chosen in which 6 are red marbles and remaining marbles ,which are 10, are blue marbles.
In order to find in how many ways 6 red marbles can be chosen we will proceed as:
Out of 17 red marbles 6 are chosen and out of 18 blue marbles 10 are chosen.
Total number of ways 6 red marbles can be chosen= [tex]17_{C_6} * 18_{C_1_0}[/tex]
Total number of ways 6 red marbles can be chosen=[tex]\frac{17!}{6!*(17-6)!} * \frac{18!}{10!*(18-10)!}[/tex]
Total number of ways 6 red marbles can be chosen= 12376*43758
Total number of ways 6 red marbles can be chosen=541549008
Answer: N = 541,549,008
Therefore the number of ways to select 6 red marbles is 541,549,008
Step-by-step explanation:
Given;
Number of red marbles total = 17
Number of blue marbles total = 18
Number of red marbles to be selected = 6
Number of blue marbles to be selected = 16 - 6 = 10
To determine the number of ways 6 red marbles can be selected N.
N = number of ways 6 red marbles can be selected from 17 red marbles × number of ways 10 blue marbles can be selected from 18 blue marbles
N = 17C6 × 18C10
N = 17!/(6! × (17-6)!) × 18!/(10! × (18-10)!)
N = 17!/(6! × 11!) × 18!/(10! × 8!)
N = 541,549,008
Therefore the number of ways to select 6 red marbles is 541,549,008
