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  • Find the number of 4-digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of those will be even?

Find the number of 4-digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of those will be even?

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Now,;for;the;number;to;be;even;,;ones;place;can;be;filled;by;2;or;4.\*So,;there;are;2;ways;to;fill;ones;place.\*Since,;repetition;is;not;allowed,;so;tens;place;can;be;filled;by;remaining\*four;digits.; So,;tens;place;can;be;filled;in;4;ways.\*Since,;repetition;is;not;allowed;,;so;hundreds;place;can;be;filled;by;remaining\*3;digits.; So,;hundreds;place;can;be;filled;in;3;ways.\*Similarly,;to;fill;thousands;place,;we;have;2;digits;remaining.\*So,;thousands;place;can;be;filled;in;2;ways.\*So,;required;number;of;ways;in;which;four;digit;even;numbers;can;be;formed\*from;the;given;digits;is;2 imes4 imes3 imes2=48

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Deependra Verma

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