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(a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5,

ID: 3353141 • Letter: #

Question

(a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than 440? Quiz 1 Ch1 and Ch2 (Workbook)) 9/15/2017 16. (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5,6, 7, 8, and 9 if each digit can be used only once? three-digit numbers that can be formed using those digits There are (Type a whole number.) (b) How many of these are odd numbers? three-digit odd numbers that can be formed using those digits. There are (Type a whole number.) (c) How many are greater than 4407 three-digit numbers greater than 440 that can be formed using those digits numbers There are (Type a whole nuber- Answers 648 320 400

Explanation / Answer

16) as first digit can not be 0 ; therefore for first digit we have 9 choices for second digit we have remaing 9 choice and for third digit we have 8 choices

therefore total number of ways =9*9*8=648

b)

first we need to select last digit whcih is odd number so that last diigt we have 5 choices ; after that we have 8 choice for first digit and 8 for second digit

therefore total number of digits =8*8*5=320

c)

for numbers greater than 400 =6*9*8=432

and number between 400 and 440 =1*4*8 =32

therefore numbers greater than 440 =432-32=400