SATHEE: Permutations And Combinations Question 52

Permutations And Combinations Question 52

Question: The number of positive integral solutions of $ abc=30 $ is [UPSEAT 2001]

Options:

A) 30

B) 27

C) 8

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

We have, 30 = 2 × 3 × 5. So, 2 can be assigned to either a or b or c i.e. 2 can be assigned in 3 ways. Similarly, each of 3 and 5 can be assigned in 3 ways. Thus, the no. of solutions are 3 × 3 × 3 = 27.

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Permutations And Combinations Question 52

Question: The number of positive integral solutions of $ abc=30 $ is [UPSEAT 2001]

Options:

Answer:

Solution:

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