alyaa4life 2 years ago in how many ways can a person answer 5 true or false questions?

1. kaushikpselvam

each question can be answered in 2 ways ie 2C1. there are 5 questions. so the no of ways is 2*2*2*2*2=32 ways

2. alyaa4life

thhanks!!! but how about in how many ways the exam be completed if a penalty is imposed for each incorrect answer, so that a person may leave some questions unanswered?

3. UnkleRhaukus

so now there are three different ways to answer; true , false or blank

4. UnkleRhaukus

when there were only two ways to answer there were \(2^5\) ways now there are three ways the are \(3^5\) ways

5. alyaa4life

awesome! thank you very much!!!! :)

6. alyaa4life

a customer using an automatic teller machine (atm) must enter a 4- digit pin number in order to gain access to his account. if repitition of the same four digits is not allowed.(eg 3333) how many possible combinations are there?

7. UnkleRhaukus

do you know to to find how many combinations possible , if repetition was allowed?

8. alyaa4life

im not sure, im sucks at this :(

9. alyaa4life

how many 4 digits number can be formed with 1, 2,3,6,7,8 if each digit is used most at once? how many of these smaller than 600? ans( 360, 60)

10. UnkleRhaukus

how many combinations can a digit be?