Satish is making school spirit keychains, which consist of a sequence of n beads on a string. he has blue beads and gold beads. how many unique keychains can he make with exactly k ≤ n blue beads?

Step-by-step explanation:

Satish is making school spirit key chains, which consist of a sequence of n beads, that are blue and golden.

Also given, there are k ≤ n blue beads.

So, the number of unique key chains that can be made is :

;

its a trick question

step-by-step explanation:

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!