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A pizza-seller offers six kinds of topping and two kinds of bread for

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Joined: 02 Sep 2009
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A pizza-seller offers six kinds of topping and two kinds of bread for  [#permalink]

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New post 02 Oct 2018, 00:42
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (01:42) correct 52% (01:41) wrong based on 25 sessions

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A pizza-seller offers six kinds of topping and two kinds of bread for its pizzas. If each pizza contains an equal number of kinds of topping and an equal number of kinds of breads, how many different pizzas could the pizza-seller offer?

(A) 9
(B) 10
(C) 165
(D) 18
(E) 27

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Re: A pizza-seller offers six kinds of topping and two kinds of bread for  [#permalink]

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New post 03 Oct 2018, 04:17
Each pizza has equal no of breads and equal no of toppings. This means that pizza can be a combination of
1 bread (can be chosen among 2) and 1topping ( can be chosen among 6 )
OR
can be a combination of
2 breads (can be chosen among 2) and 2 toppings( can be chosen among 6 )

=

2C1*6C1 + 2C2*6C2 = 27

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A pizza-seller offers six kinds of topping and two kinds of bread for  [#permalink]

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New post 03 Oct 2018, 04:27
wordings quite confusing in this question
anyone else faced this problem ??
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Re: A pizza-seller offers six kinds of topping and two kinds of bread for  [#permalink]

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New post 03 Oct 2018, 05:04
vignesh333 wrote:
wordings quite confusing in this question
anyone else faced this problem ??



Yes, the wording of this question is suspect.
"an equal number of kinds of topping and an equal number of kinds of breads" - implies each pizza has say 1 kind of bread and 2 kinds of toppings or 2 kinds of breads and 3 kinds of toppings etc. In each case, the number of pizzas one can make would be different.

I certainly could not conclude that it means " the number of kinds of breads is the same as the number of kinds of toppings"
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Re: A pizza-seller offers six kinds of topping and two kinds of bread for &nbs [#permalink] 03 Oct 2018, 05:04
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