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Jasper is to select a committee of 4 individuals from among a group of 5 candidates. The committee will have a President, a Vice President, and two Treasurers. How many different committees can John select from the 5 candidates?
A. 15
B. 20
C. 30
D. 60
E. 120
A. 15
B. 20
C. 30
D. 60
E. 120
13 Dec 2018, 02:02
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Bunuel
Jasper is to select a committee of 4 individuals from among a group of 5 candidates. The committee will have a President, a Vice President, and two Treasurers. How many different committees can John select from the 5 candidates?
A. 15
B. 20
C. 30
D. 60
E. 120
A. 15
B. 20
C. 30
D. 60
E. 120
two ways to solve :
method 1:
5!/ 1!*1!*2! = 60
method 2: 5c1*4c1* 3c2 = 5*4*3 = 60
IMO D
19 Jan 2020, 11:21
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The question can be done in 2 steps:
1) select 4 individuals can be chosen out of 5 in 5C4 or 5C1 ways = 5 ways
2) Now we need to assign the designations: P, VP, T, T
it can be done in 4!/(2!) = 12 ways
Hence total no of ways = selection and assigning designation = 5*12 = 60
Answer D
1) select 4 individuals can be chosen out of 5 in 5C4 or 5C1 ways = 5 ways
2) Now we need to assign the designations: P, VP, T, T
it can be done in 4!/(2!) = 12 ways
Hence total no of ways = selection and assigning designation = 5*12 = 60
Answer D
Bunuel
Jasper is to select a committee of 4 individuals from among a group of 5 candidates. The committee will have a President, a Vice President, and two Treasurers. How many different committees can John select from the 5 candidates?
A. 15
B. 20
C. 30
D. 60
E. 120
A. 15
B. 20
C. 30
D. 60
E. 120
