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NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 14 of 41
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Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?
Solution:
The 4-digit numbers can be formed from digits 1 to 5 in ways. ∴ The required 4 digit numbers = = 120 For 4-digit even numbers unit place can be filled by 2, 4, i.e., in 2 ways. Then the remaining three places can be filled in ways. ∴ The required 4-digit even numbers = 2 × = 2 × 24 = 48
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