Verified Solution • 2025–26 Session moderate

QJEEM25Ma4631: JEE Main 2025 Mathematics - Class 11 JEEM25Ma4631 Solution: Let be the set of seven digit numbers with sum of their digits…

Let PP be the set of seven digit numbers with sum of their digits equal to 11. If the numbers in PP are formed by using the digits 1, 2 and 3 only, then the number of elements in the set PP is :

Multiple Choice Options

  • A 164
  • B 158
  • C 161
  • D 173

Step-by-Step Verified Solution

(i) number of numbers created using

1111133=7!5!2!⇒21

(ii) number of numbers created using

1111223=7!4!2!⇒105

(iii) number of numbers created using

1112222=7!4!3!⇒35 Total =161

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