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If nine people are available to form a committee, what is the ratio of
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07 Dec 2022, 02:20
07 Dec 2022, 02:20
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If nine people are available to form a committee, what is the ratio of the number of different two person committees to the number of different six person committees that can be formed from this group?
1 : 4
2 : 7
3 : 7
7 : 3
7 : 2
1 : 4
2 : 7
3 : 7
7 : 3
7 : 2
Re: If nine people are available to form a committee, what is the ratio of
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11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
C It does not matter in what order the members of these committees are selected, so remember to divide. Do this problem one step at a time. The number of two-person committees that can be formed from a group of nine people is 9*8/2*1=36 . The number of six-person committees that can be formed from a group of nine people is 9*8*7*6*5*4/6*5*4*3*2*1=84. So the ratio of two-person committees to six-person committees is 36/84=3/7. Be careful of choice (D), which gives the ratio of six-person committees to two-person committees. Choice (C) gives the correct ratio.
C It does not matter in what order the members of these committees are selected, so remember to divide. Do this problem one step at a time. The number of two-person committees that can be formed from a group of nine people is 9*8/2*1=36 . The number of six-person committees that can be formed from a group of nine people is 9*8*7*6*5*4/6*5*4*3*2*1=84. So the ratio of two-person committees to six-person committees is 36/84=3/7. Be careful of choice (D), which gives the ratio of six-person committees to two-person committees. Choice (C) gives the correct ratio.
Re: If nine people are available to form a committee, what is the ratio of
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15 Jun 2024, 08:45
15 Jun 2024, 08:45
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