Question

Rakesh writes letters to his five friends. The number of ways in which the letters can be placed in the envelopes, so that all of them are placed in the wrong envelopes, is​

Answer 1

Answer:

answer 44

Step-by-step explanation:

total no. of letters=5

placeced in the wrong envelope all then,

P=5!-⁵c1x4!+⁵c2x3!-⁵c3×2!+⁵c4×1!-⁵c5×0!

here ⁵c1= 5! , ⁵c2= 5! ,⁵c3= 5! ,⁵c4= 5!

4!×1! 3!×2! 2!×3! 1!×4!

⁵c5= 5!

0!×5!

so put the value-

=(5×4×3×2×1)- (5×4×3×2×1)+(5×4×3) - (5×4)+5 - 1

=(120)-(120)+(60)-(20)+5-1

=44ans.