There are n boys and m girls scouts. If two boy scouts and two girl scouts are chosen, the number of combinations is 160 and the total number of scouts is 26. Calculate the value of n and m if n > m. |
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I have gotten the answers for this question but I couldn't get why nC2 × mC2 = 26 is wrong instead of nC2 + mC2 = 26?​

it's plus because they said 'the combination of the two scouts'

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

b

step-by-step explanation:

i dont know