Home
Class 12
MATHS
Evaluate the following : (i) ""^(7)C(...

Evaluate the following :
`(i) ""^(7)C_(5)`
`(ii) ""^(105)C_(102)`

Text Solution

Verified by Experts

`(i) ""(7)C_(5)=(7!)/(5!(7-5)!)`
`=(7xx6xx5!)/(5!xx2!)`
`(7xx6)/(2xx1)=21`
(ii) `""(105)C_(102)=(105!)/(102!(105-102)!)`
`=(105xx104xx103xx102!)/(102!xx3!)`
`(105xx104xx103)/(3xx2xx1)`
`=35xx52xx103`
`=187460`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Try Yourself|65 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : (i) ""^(8)P_(5) (ii) ""^(10)P_(3) (iii) ""^(12)C_(7) (iv) ""^(9)C_(0) .

Evaluate the following: (i) .^(10)C_(5) (ii) .^(12)C_(8) (iii) .^(15)C_(12) (iv) .^(n+1)C_(n) (v) .^(14)C_(9)

Find the value of following. (i) ""^(15)C_(11) (ii) ""^(10)C_(4)

Compute the following (i) 5! (ii) 7 !

Write the next higher homologue of the following: (i) C_(3)H_(6) (ii) C_(5)H_(8)

Evaluate the following using identities: (i) (105)^(2) (ii) (47)^(2) (iii) (8.3 xx 7.7)

Using suitable identity , evaluate the following (i) 103^(3) (ii) 101xx102 (iii) 999^(2)

Write conjugate acid for the following : "(i) " C_(2)H_(5)NH_(2) " (ii) "CH_(3)COOH

Evaluate (i) ""^(61)C_(57)- ""^(60)C_(56) (ii) ""^(31)C_(26)- ""^(30)C_(26)