Answer:
1. D.
2.E.
3.A.
4.B.
5. C.
Step-by-step explanation:
Formula: C= n!/r!(n-r)!
P= n!/(n-r)!
1. C= 8!/2!(8-2)!
C= 8!/2!6!
C= 8•7•6!/2!6!
C= 56/2!
C= 28
2. C= 5!/1!(5-1)!
= 5•4!/ 1!4!
C= 5
3. P= 4!/(4-4)!
= 4!/0!
= 4•3•2•1
P= 24
4. P= 5!/(5-2)!
= 5!/3!
= 5•4•3!/3!
= 5•4
P= 20
P= 3!/(3-3)!
= 3!/0!
= 3•2•1
P= 6
P= 20•6
P= 120
5. P= 5!/(5-5)!
= 5!/0!
= 5•4•3•2•1
P= 4!/(4-2)!
= 4!/2!
= 4•3•2!/2!
= 4•3
P= 12
P= 120/12
P= 10
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Answers & Comments
Answer:
1. D.
2.E.
3.A.
4.B.
5. C.
Step-by-step explanation:
Formula: C= n!/r!(n-r)!
P= n!/(n-r)!
1. C= 8!/2!(8-2)!
C= 8!/2!6!
C= 8•7•6!/2!6!
C= 56/2!
C= 28
2. C= 5!/1!(5-1)!
= 5•4!/ 1!4!
C= 5
3. P= 4!/(4-4)!
= 4!/0!
= 4•3•2•1
P= 24
4. P= 5!/(5-2)!
= 5!/3!
= 5•4•3!/3!
= 5•4
P= 20
P= 3!/(3-3)!
= 3!/0!
= 3•2•1
P= 6
P= 20•6
P= 120
5. P= 5!/(5-5)!
= 5!/0!
= 5•4•3•2•1
P= 120
P= 4!/(4-2)!
= 4!/2!
= 4•3•2!/2!
= 4•3
P= 12
P= 120/12
P= 10