NCERT Class XI Mathematics - Permutations and Combinations - Solutions

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Question : 13
Total: 41
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Solution:  
For 3-digit even numbers unit place can be filled by 2, 4, 6 i.e in 3 ways. Then the remaining two places can be filled in
5
‌
P2
ways.
∴ The required 3–digit even numbers = 3 ×
5
‌
P2
= 60
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