Discrete mathematics (polynomial)

2. Md. Al-Amin
ID: 172015031
Department: CSE

3. Problem & Solution
From the book of-
Discrete Mathematics & it’s Aplication
(7TH edition)
Chapter No- 7 (Probability)
Exercise No- 27 & 28

4. Problem No-27
Find the probability of selecting exactly one of the
correct six integers in a lottery, where the order in
which these integers are selected does not matter,
from the positive integers not exceeding-
a) 40. b) 48. c) 56. d) 64

5. 6!/{1!(6-1)!}*34!/{5!(34-5)!} 6*278256
___________________________ = _________ =0.43497255003 = 0.435
40!/{6!(40-6)} 3838380
Solution No- 27
Use binomial coefficients to compute the probability.
Choose 1 of the 6 correct integers and choose 5 of the
remaining 34 integers.

6. Use binomial coefficients to compute the probability.
Choose 1 of the 6 correct integers and choose 5 of the
remaining 42 integers.
Use binomial coefficients to compute the probability.
Choose 1 of the 6 correct integers and choose 5 of the
remaining 50 integers.
Use binomial coefficients to compute the probability.
Choose 1 of the 6 correct integers and choose 5 of the
remaining 58 integers.

7. Problem No-8
In a superlottary, a player selects 7 numbers out of the
first 80 positive integers. What is the probability that a
person wins the grand prize by picking 7 numbers that
are among the 11 numbers selected at random by a
computer

8. Solution No- 28
So the Result: