porbability help
In how many ways can a set of 4 grls be selected from 10
a. if the edldest girl is included in each set,
b. if the eldest girl is excluded from each set
Another question
A class consits of 15 students of whom 5 are prefects . How many committees of 8 can be formed , each containing
a. exactly 2 prefects
b. at least 2 prefects
after skimming through I think no one actually answered this, or did we decide it is irrelevant for year12 and hence not going to bother? either way:
a) There are
different ways to select the 4 girls in such a way (since the eldest is already there you just need 3 of the remaining 9).
b) So essentially there are 9 girls and you want 4 of them. So
.
a) So we have 10 non-prefects and 5 prefects. There are
different ways of choosing 6 non-prefects and
ways of choosing 2 prefects. Hence in total there are
committtees(basically each committee is just a pair of two prefects and six non-prefects)
b) Easier to calculate the compliment, there are
committees in total. Find how many contain exactly 1 prefect and how many contain no prefects (use similair reasoning to part a). Now just subtract that from the total.