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Bunuel
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In how many ways can all the 7 identical sweets be distributed to 07 Dec 2022, 08:46
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55% (hard)

Question Stats:

60% (01:41) correct 40% (01:58) wrong based on 173 sessions

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In how many ways can all the 7 identical sweets be distributed to three friends Jack, Jill, and John so that Jill always gets 2 sweets and each of them gets at least one sweet?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 3
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D
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In how many ways can all the 7 identical sweets be distributed to 07 Dec 2022, 14:15
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Bunuel
In how many ways can all the 7 identical sweets be distributed to three friends Jack, Jill, and John so that Jill always gets 2 sweets and each of them gets at least one sweet?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 3
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As the number of sweets is small, we can manually count the number of ways.

As Jack gets two sweets, we are left with 5 sweets that need to be distributed between Jill and John such that each of them gets at least one sweet.

Jack - 1 || John - 4
Jack - 2 || John - 3
Jack - 3 || John - 2
Jack - 4 || John - 1

Total four ways

Option D
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In how many ways can all the 7 identical sweets be distributed to 07 May 2024, 22:42
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KarishmaB MartyMurray , since (7-2)= 5 identical sweets are to be distributed among 2 people i.e Jack and John so that each gets at least one , we can use this formule = (n -1) c (r - 1 ) = (5-1) c (2-1) = 4 c 1 = 4 .
Is this approach correct ? KarishmaB gmatophobia
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In how many ways can all the 7 identical sweets be distributed to 09 May 2024, 02:25
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sayan640
KarishmaB MartyMurray , since (7-2)= 5 identical sweets are to be distributed among 2 people i.e Jack and John so that each gets at least one , we can use this formule = (n -1) c (r - 1 ) = (5-1) c (2-1) = 4 c 1 = 4 .
Is this approach correct ? KarishmaB gmatophobia
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­Sure though understand that GMAT does not expect you to know these formulae and that there are many many such formulae and that if you do want to use them. ensure that you know the exact conditions in which each is used. One small change in the question can make all the difference. 
GMAT will give you questions in which you can quickly and easily reason out the answer. 
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In how many ways can all the 7 identical sweets be distributed to 09 May 2024, 02:47
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Yes..Here actually it became a bit easy because the number is small. Had it been a bigger number , I may have missed cases. Using formulae makes things a bit quick.
KarishmaB
 
sayan640
KarishmaB MartyMurray , since (7-2)= 5 identical sweets are to be distributed among 2 people i.e Jack and John so that each gets at least one , we can use this formule = (n -1) c (r - 1 ) = (5-1) c (2-1) = 4 c 1 = 4 .
Is this approach correct ? KarishmaB gmatophobia
­Sure though understand that GMAT does not expect you to know these formulae and that there are many many such formulae and that if you do want to use them. ensure that you know the exact conditions in which each is used. One small change in the question can make all the difference. 
GMAT will give you questions in which you can quickly and easily reason out the answer. 
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In how many ways can all the 7 identical sweets be distributed to 09 Oct 2025, 04:53
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