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Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1
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28 Oct 2021, 21:27
28 Oct 2021, 21:27
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Question Stats:
58% (01:09) correct
41% (02:43) wrong based on 31 sessions
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Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1 jacket, 1 pant and 1 pair of shoes every day. However, 1 jacket and 1 pant don`t match, so they cannot be selected together. In such circumstances, for how many days can she wear differently?
A.19
B. 20
C. 21
D. 22
E. 23
Post a detailed solution and get kudos!
A.19
B. 20
C. 21
D. 22
E. 23
Post a detailed solution and get kudos!
Re: Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1
[#permalink]
29 Oct 2021, 22:54
29 Oct 2021, 22:54
2
Quote:
Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1 jacket, 1 pant and 1 pair of shoes every day. However, 1 jacket and 1 pant don`t match, so they cannot be selected together. In such circumstances, for how many days can she wear differently?
Number of ways in which 1 jacket, 1 pant and 1 pair of shoes can be selected = 4*3*2 = 24
Number of ways of selecting 1 jacket and 1 pant which don`t match = 1*1*2 = 2
Required number of ways = (Total number of ways) - (Number of ways in which jacket and pant dont match)
= 24 - 2 = 22
D is correct
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
Re: Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1
[#permalink]
30 Oct 2021, 00:45
30 Oct 2021, 00:45
kapil1 wrote:
Quote:
Linda has 4 jackets, 3 pants and 2 pairs of shoes. She could choose 1 jacket, 1 pant and 1 pair of shoes every day. However, 1 jacket and 1 pant don`t match, so they cannot be selected together. In such circumstances, for how many days can she wear differently?
Number of ways in which 1 jacket, 1 pant and 1 pair of shoes can be selected = 4*3*2 = 24
Number of ways of selecting 1 jacket and 1 pant which don`t match = 1*1*2 = 2
Required number of ways = (Total number of ways) - (Number of ways in which jacket and pant dont match)
= 24 - 2 = 22
D is correct
I am confused in the highlighted line sir.
