Question

Suppose a box contains 4 blue,
5 white, 6 red and 7 green balls. In how many of all possible sample of size 5, chosen without replacement, will every color be represented mcq questions ​

Answer 1

Answer:

7560

Step-by-step explanation:

four different -coloured balls are to be chosen at least one apiece in a sample size of

so, in the sample size of 5 , there will be two number of a particular colured balls while three other coloured balls will be there one apiece

so, the answer will be

=(4c2)*(5c1)*(6c1)*(7c1)+(4c1)*(5c2)*(6c1)*(7c1)+(4c1)*(5c1)*(6c2)*(7c1)+(4c1)*(5c1)*(6c1)*(7c2)

=6*5*6*7*+4*10*6*7+4*5*15*7+4*5*6*21

=1260+1680+2100+2520

=7560