JEE Mains Model Paper 22

2 Ps
One T , One - N , One - l
∴ 6 types of letters
i) All 4 different
Total arrangements =

6

‌

C2 × 4! = 360
ii) Two different 2 same
Total arrangements =

3

‌

C1 ×

5

‌

C2 ×

4!

2!

= 360
iii) 2 alike of one kind 2 of other =

3

‌

C2 ×

4!

2!×2!

= 18
iv) 3 alike one different = 1 × 5 ×

4!

3!

= 20
Total arrangements = 360 + 360 + 18 + 20 = 758