SATHEE: Permutations And Combinations Question 145

Permutations And Combinations Question 145

Question: All possible two factors products are formed from numbers 1, 2, 3, 4, …., 200. The number of factors out of the total obtained which are multiples of 5 is

Options:

A) 5040

B) 7180

C) 8150

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

The total number of two factor products $ {{=}^{200}}C_2 $ . The number of numbers from 1 to 200 which are not multiples of 5 is 160. Therefore total number of two factor products which are not multiple of 5 is $ ^{160}C_2 $ . Hence the required number of factors $ {{=}^{200}}C_2{{-}^{160}}C_2=7180 $ .

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Permutations And Combinations Question 145

Question: All possible two factors products are formed from numbers 1, 2, 3, 4, …., 200. The number of factors out of the total obtained which are multiples of 5 is

Options:

Answer:

Solution:

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