Factorial Questions

Question 1

Question:   Find n.

Answer:    i)









ii)





\n = 81

Question 2

Question:   A lady wants to select one cotton saree and one polyster saree from a collection of 8 cotton sarees and 11 polyster sarees. In how many ways can the lady choose the two sarees?

Answer:    Here, there are two events E₁ and E₂.
E₁ = Selection of one cotton saree from 8 cotton sarees.
E₂ = Selection of one polyster saree from 11 polyster sarees.
E₁ = 8 ways E₂ = 11 ways

Question 3

Question:  

Answer:    i)


ii)


iii)

Question 4

Question:   When n = 5 and r = 2, find the values of

Answer:    i)


ii)

Question 5

Question:  

Answer:   

Question 6

Question:   Convert the following into factorials:
i) 5.6.7.8.9.10 ii) 4.6.8.10.12

Answer:    i)


ii)

Question 7

Question:  

Answer:   

Question 8

Question:  

Answer:   

Question 9

Question:  

Answer:   

Question 10

Question:   Find n if P(n,4) = 20P(n,2)

Answer: