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The Multiplier Mechanism

If a person i...

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If a person is permitted to select at least one and at most n coins from the collection of (2n +1) different coins. If the total number of ways in which he can select coins is 255 find the value of n

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Q. A person is permitted to select at least one and at most

n

coins from a collection of

(2 n + 1)

distinct coins. If the total number of ways in which he can select coins is

255

n

Q. A student is allowed to select at most

n

books from a collection of

(2 n + 1)

books. If the total number of ways in which he can select at least one book is

63

, find the value of

n

.

Q. Assertion :A student is allowed to select at most

n

books from a collection of

(2 n + 1)

books. If the total number of ways in which he can select at least one book is

255

n = 3

, because Reason:

^{2 n + 1} C_{0} +^{2 n + 1} C_{1} + . . . +^{2 n + 1} C_{n} = 4^{n}

Q. Assertion :A student is allowed to select at most

n

books from a collection of

(2 n + 1)

books. If the total number of ways in which he can select at least one book is

255,

n = 3

Reason: because

^{(2 n + 1)} C_{0} +^{(2 n + 1)} C_{1} +^{(2 n + 1)} C_{2} + . . . +^{(2 n + 1)} C_{n} = 4^{n}

Q. A student is allowed to select almost

n

books from a collection of

2 n + 1

books. If the total number of ways in which he can select at least one book is

63

, find the value of

n

.

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