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23 Jun 2022, 08:30
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x, y and z are positive integers. How many different ordered groups of {x, y, z) are possible so that x + y + z = 5?
A. 3
B. 4
C. 5
D. 6
E. 8
A. 3
B. 4
C. 5
D. 6
E. 8
23 Jun 2022, 08:35
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x, y and z are positive integers. How many different ordered groups of {x, y, z) are possible so that x + y + z = 5?
A. 3
B. 4
C. 5
D. 6
E. 8
A. 3
B. 4
C. 5
D. 6
E. 8
possible pairs of ( x,y,z) such that x+y+z=5
(1,1,3) ; ( 1,2,2)
1,1,3 can be arranged in 3!/2! ; 3 ways
so can be ( 1,2,2 ) 3 ways
total ways 6 option D
Permutation with repetition where n = k
n = number os elements
k = number of places
n = k the order matters
There’s no repetition
n! In the numerator and the number of repetitions! in the denominator
n = number os elements
k = number of places
n = k the order matters
There’s no repetition
n! In the numerator and the number of repetitions! in the denominator
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