Question

Plz solve this que
i will mark brainliest​

Answer 1

Answer:

Option(4)

Step-by-step explanation:

Given: C(22,18) + 3 * C(22,17) + 3 * C(22,16) + C(22,15)

= [22!/18!(22 - 18)!] + 3 * [22!/17!(22 - 17)!] + 3 * [22!/16!(22 - 16)!] + [22!/15!(22 - 15)!]

= 7315 + 79002 + 223839 + 170544

= 480700.

Option Verification:

(i) C(24,6)

= [24!/6!(24 - 6)!]

= 134596

(ii)C(24,7)

= [24!/7!(24 - 7)!]

= 346104

(iii) C(25,6)

= [25!/6!(25 - 6)!]

= 177100

(iv) C(25,7)

= [25!/7!(25 - 7)!]

= 480700.

Therefore, C(22,18) + 3 * C(22,17) + 3 * C(22,18) + C(22,15) = C(25,7).

Hope it helps!

Answer 2

C(22,18) + 3 * C(22,17) + 3 * C(22,16) + C(22,15)

[22!/18!(22 - 18)!] + 3 * [22!/17!(22 - 17)!] + 3 * [22!/16!(22 - 16)!] + [22!/15!(22 - 15)!]

7315 + 79002 + 223839 + 170544

480700.

C(25,7)