The number of arrangements of all digits of 12345 such that at least 3 digits will not come in its position is

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Correct answer: B. 109

Total number of ways such that at least 3 digits will not come in its position = ^5 C_3\ 3!- ^3 C_1 2!+ ^3 C_2 1!- ^3 C_3 0!\ + ^5 C_4\ 4!- ^4 C_1(3!)+ ^4 C_2(2!)- ^4 C_3(1!)+ ^4 C_4.(0!)\ + ^5 C_4\ 5!- ^5 C_1 4!+ ^5 C_7 3!- ^5 C_2 2!+ ^5 C_4 1!-.. ^5 C_5(0!)\ =10(2)+5(9)+(44)=20+45+44=109

The number of arrangements of all digits of 12345 such that at...

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