SATHEE: Permutations And Combinations Question 300

Permutations And Combinations Question 300

Question: Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are [AIEEE 2002]

Options:

A) 216

B) 375

C) 400

D) 720

Show Answer

Answer:

Correct Answer: D

Solution:

0, 1, 2, 3, 5, 7 : Six digits The last place can be filled in by 1, 3, 5, 7. i.e., 4 ways as the number is to be odd. We have to fill in the remaining 3 places of the 4 digit number i.e. I, II, III place. Since repetition is allowed each place can be filled in 6 ways. Hence the 3 place can be filled in 6 × 6 × 6 = 216 ways. But in case of 0 = 216 - 36 = 180 ways. Hence by fundamental theorem, the total number will be = 180 × 4 = 720.

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Permutations And Combinations Question 300

Question: Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are [AIEEE 2002]

Options:

Answer:

Solution:

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