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Chelsea has 5 roses and 2 jasmines. A bouquet of 3 flowers i
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14 May 2019, 00:29
14 May 2019, 00:29
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Question Stats:
77% (01:24) correct
22% (01:04) wrong based on 18 sessions
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Chelsea has 5 roses and 2 jasmines. A bouquet of 3 flowers is to be formed. In how many ways can it be formed if at least one jasmine must be in the bouquet?
(A) 5
(B) 20
(C) 25
(D) 35
(E) 40
(A) 5
(B) 20
(C) 25
(D) 35
(E) 40
Re: Chelsea has 5 roses and 2 jasmines. A bouquet of 3 flowers i
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12 Aug 2019, 04:57
12 Aug 2019, 04:57
need explanation?
Re: Chelsea has 5 roses and 2 jasmines. A bouquet of 3 flowers i
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12 Aug 2019, 07:34
12 Aug 2019, 07:34
2
Carcass wrote:
Chelsea has 5 roses and 2 jasmines. A bouquet of 3 flowers is to be formed. In how many ways can it be formed if at least one jasmine must be in the bouquet?
(A) 5
(B) 20
(C) 25
(D) 35
(E) 40
(A) 5
(B) 20
(C) 25
(D) 35
(E) 40
Here,
Let us consider the possibilities::
CASE I
1 rose and 2 jasmines which can be arranged in = 5C1 * 2C2 = 5
CASE II
2 roses and 1 jasmines which can be arranged in = 5C2 * 2C1 = 20
Therefore the total no. of possibilities = 20 + 5 = 25
