Q1 of 140 Page 288

Evaluate:

10P4


To find: the value of 10P4


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


Therefore,


10P4


10P410 × 9 × 8 × 7


10P45040


Thus, the value of 10P4 is 5040.


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A customer forgets a four-digit code for an automated teller machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6, 9. Find the largest possible number of trials necessary to obtain the correct code.

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In how many ways can 3 prizes be distributed among 4 girls, when

(i) no girl gets more than one prize?


(ii) a girl may get any number of prizes?


(iii) no girl gets all the prizes?


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62P3


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6P6