# (i) If n</su

To find: the value of n

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

nPr

nP4 : nP5 = 1:2

n – 4 = 2

n = 6

Hence, value of n is 6.

(ii) To find: the value of n

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

nPr

n–1P3 : n+1P3, = 5 : 12

12

n = 8, 2.25

Since n cannot be 2.25 as it creates a negative factorial in denominator. Therefore,
n = 2.25 is not possible
.

Hence, value of n is 8.

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