Consider the digits {2, 3, 4, 5, 6, 7}. If 4 digits are chosen randomly and...
Consider the digits {2, 3, 4, 5, 6, 7}. If 4 digits are chosen randomly and without replacement to make a 4-digit number, how many ways can a number larger than 5400 be made?
Homework Answers
number of ways a number larger than 5400 can be made
=N(first digit is 5 , 2nd digit has 3 choices from (4,6,7) , 3rd from remaining 4 digits and 4th from remaining 3 digits) +N(first digit has 2 choices from (6,7) , 2nd from remaining 5, 3rd from remaining 4 and 4th from remaining 3) =1*3*4*3+2*5*4*3 =156
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