PERMUTATIONS WITH SPECIALCONDITIONS read the directions and solve with explanati

Question

PERMUTATIONS WITH SPECIALCONDITIONS read the directions and solve with explanationand answers In #1 and 2, a three digit numeral is formed by selectingfrom the digits 1,2,3,4,5, and 6 with NOREPITITIONS. Tell how many of these 3-digit numeralswill have: 1) a number value between 200 and 400 2) a number value less than 300 ***PLEASEEE HELPPASAPP!! WILL RATE LIFESAVER!!!*** PERMUTATIONS WITH SPECIALCONDITIONS read the directions and solve with explanationand answers read the directions and solve with explanationand answers In #1 and 2, a three digit numeral is formed by selectingfrom the digits 1,2,3,4,5, and 6 with NOREPITITIONS. Tell how many of these 3-digit numeralswill have: 1) a number value between 200 and 400 2) a number value less than 300 ***PLEASEEE HELPPASAPP!! WILL RATE LIFESAVER!!!***

Explanation / Answer

Since you are only picking a tree digit number you will multiply 3numbers together. For the digit you can choose any of the 6numbers, since you aren't repeating you will be left with 5 numbersfor the second digit and 4 numbers for the third digit. multiply 6*5*4 to get the total count for three digit numberswithout repetition (120). The next step is to determine how many are valued between 200 and400. There is an equal likelihood of the number starting withany of the six digits, so the probability of the three digit numberstarting with a 2 or a 3, the following digits don't matter, is 2/6 or 1/3. We take the answer to the first part of thequestion 120 and multiply by 1/3 to get our answer. (40) The same process is done for question 2, a number less than 300will have to start with either a 1 or a 2 so there are 2/6possibilities, and since all six digits are equally likely you canmultiply 120 and 1/3 to get the answer to question 2. The answer is40, the same as question 1.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.