Roger wants to buy a television and DVD player. There are 9 available : Problem Solving (PS)

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Roger wants to buy a television and DVD player. There are 9 available

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Manager

Status: The journey is always more beautiful than the destination

Affiliations: Computer Science

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Roger wants to buy a television and DVD player. There are 9 available [#permalink]

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Updated on: 09 Apr 2018, 00:23

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Difficulty:

25% (medium)

Question Stats:

76% (01:17) correct

24% (01:55) wrong

based on 54 sessions

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Roger wants to buy a television and DVD player. There are 9 available models of televisions and 6 available models of DVD players, but 3 of these television sets are not compatible with 2 of the DVD players. In how many ways can he buy a television and a compatible DVD player?

a. 48
b. 54
c. 62
d. 70
e. 72

Source- Time4education

Spoiler: OA

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Originally posted by Nixondutta on 08 Apr 2018, 22:53.
Last edited by Bunuel on 09 Apr 2018, 00:23, edited 1 time in total.

Edited the question.

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Re: Roger wants to buy a television and DVD player. There are 9 available [#permalink]

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08 Apr 2018, 23:12

Nixondutta wrote:

Total number of ways of selecting one TV and one DVD
=9C1*6C1
Total number of ways of selecting not compatible TV and DVD players=3c1*2C1

many ways can he buy a television and a compatible DVD player=9C1*6C1-3c1*2C1=48

Ans A

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Re: Roger wants to buy a television and DVD player. There are 9 available [#permalink]

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09 Apr 2018, 20:59

Nixondutta wrote:

Ways of selecting from the total = 9C1 * 6C1 =54
Ways if selecting not compatible product = 3C1 * 2C1 =6

Therefore Ways of selecting compatible products =54 - 6 =48
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Re: Roger wants to buy a television and DVD player. There are 9 available [#permalink]

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19 Apr 2018, 02:37

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Re: Roger wants to buy a television and DVD player. There are 9 available [#permalink]

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23 Apr 2018, 15:51

Nixondutta wrote:

If all 9 models of televisions and 6 models of DVD players are compatible with one another, then there are 9 x 6 = 54 ways to purchase them. However, since 3 models of televisions and 2 models of DVD players are not compatible, we need to remove 3 x 2 = 6 ways from the above mentioned 54 ways, leaving us with 54 - 6 = 48 ways to purchase a TV and a DVD player.

Answer: A
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