Prove that Laspeyre’s and Paasche’s index numbers will be equal if the prices of all goods change in the same ratio.

Define Laspeyre's and Paasche's price index formula.

Give the forniula of Fisher’s index number ?

Prove that Fisher's ideal index number lies between Laspeyre's and Paasche's index numbers.

Write down the Fisher’s Price index formula.

Prove that Marshall Edgeworth index number lies between laspeyers and Paasche's index numbers.

Let’s write down three consecutive integers such that 5 less than the sum of the numbers is equal to 11 more than twice the second number. Let’s find the three consecutive integers.

In a conference 10 speakers are present. If S_1 wants to speak before S_2a n dS_2 wants to speak after S_3, then find the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number.