can anyone help me with the 1.2&3 I got so confuse.. really appreciate l. A mult

Question

can anyone help me with the 1.2&3 I got so confuse.. really appreciate l. A multiple-choice testcontains 10 uestions. There are four possible answers for each question. (a) How many ways can a student answer the questions on the test if every question is answered (b) How many ways can a student answer the questions on the test if the student can leave answers blank? 2. There are four major auto routes from Boston to Detroit and six from Detroit to Los Angelses how many major auto routes are there from Boston to Los Angeles through Detroit? 3. How many strings are there of four lowercase letters that have the letter rin them?

Explanation / Answer

1 Question at a time as per forum rules. Please post other 2 questions separately. Meanwhile I will solve 2)

Question 2)

There are 4 major routes from Boston to Detriot

There are 6 major routes from Detriot to Los Angeles

Therefore, from Boston to LA via Detriot there are 4*6 = 24 routes.

i.e. any of 4 routes from Boston to Detriot can be taken in 4C1ways

i.e. any of 6 routes from Detriot to LA can be taken in 6C1ways, so 4C1 * 6C1 = 24 ways

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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