#1. 5 choices for each digit.
So, 5^4
#2. correct
#3. 1 * 4^3
#4. 2^3 * 10^4
when repetitions are allowed, you get more choices...
1.How many positive three-digit integers can be made from the digits {3,4,5,6,7} if digits may be repeated? 5x4x3=60
2.In how many ways can all of the letters of the word HEXAGON be arranged if the arrangement must start with a consonant and end in a vowel? 4x3x1x2x3x4x5=1440
3.How many positive integers between 3000 and 4000 can be made with the digits {3,4,6.9} if repetition of digits is allowed? 3x1x2x3
4.How many 7-digit phone numbers can be made if the first three digits can only be 3's or 4's but there are no restrictions on the last four digits?(Don't know this one)
1 answer