1. How many committees could be formed from 10 students if: a) There must be 4 or 5 people on the committee? b) There are 6 people on the committee and John and Mandy must be on the committee 6. Lottomax has balls numbered 1 to 50 and seven balls are drawn. You win first prize if you select all 7 numbers and second prize if you select 6 of the 7 numbers. Find the probability that you win 1st or 2nd prize. 7. Suppose a committee of size 5 is to be selected from a group of 8 doctors and 15 nurses. Find the probability of the committee having at least 4 nurses?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. How many committees could be formed from 10 students if:
a) There must be 4 or 5 people on the committee?
b) There are 6 people on the committee and John and Mandy
must be on the committee
Transcribed Image Text:1. How many committees could be formed from 10 students if: a) There must be 4 or 5 people on the committee? b) There are 6 people on the committee and John and Mandy must be on the committee
6. Lottomax has balls numbered 1 to 50 and seven balls are
drawn. You win first prize if you select all 7 numbers and second
prize if you select 6 of the 7 numbers. Find the probability that
you win 1st or 2nd prize.
7. Suppose a committee of size 5 is to be selected from a group of
8 doctors and 15 nurses. Find the probability of the committee
having at least 4 nurses?
Transcribed Image Text:6. Lottomax has balls numbered 1 to 50 and seven balls are drawn. You win first prize if you select all 7 numbers and second prize if you select 6 of the 7 numbers. Find the probability that you win 1st or 2nd prize. 7. Suppose a committee of size 5 is to be selected from a group of 8 doctors and 15 nurses. Find the probability of the committee having at least 4 nurses?
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